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Finding the Fourth Proportional to 565.84, 848.40 and 277.12

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Solution

The fourth proportional to 565.84, 848.40 and 277.12 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.84 : 848.40 = 277.12 : x
  2. Step 2: Convert to fraction form
    565.84/848.40 = 277.12/x
  3. Step 3: Cross multiply
    565.84x = 848.40 × 277.12
  4. Step 4: Simplify right side
    565.84x = 235,108.61
  5. Step 5: Solve for x
    x = 235,108.61/565.84
  6. Step 6: Final answer
    x = 415.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 566.84, 849.90 and 278.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.