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Finding the Fourth Proportional to 565.41, 848.25 and 200.23

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Solution

The fourth proportional to 565.41, 848.25 and 200.23 is: 300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.41 : 848.25 = 200.23 : x
  2. Step 2: Convert to fraction form
    565.41/848.25 = 200.23/x
  3. Step 3: Cross multiply
    565.41x = 848.25 × 200.23
  4. Step 4: Simplify right side
    565.41x = 169,845.10
  5. Step 5: Solve for x
    x = 169,845.10/565.41
  6. Step 6: Final answer
    x = 300.39

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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.