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Finding the Fourth Proportional to 565.96, 848.76 and 473.80

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Solution

The fourth proportional to 565.96, 848.76 and 473.80 is: 710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 848.76 = 473.80 : x
  2. Step 2: Convert to fraction form
    565.96/848.76 = 473.80/x
  3. Step 3: Cross multiply
    565.96x = 848.76 × 473.80
  4. Step 4: Simplify right side
    565.96x = 402,142.49
  5. Step 5: Solve for x
    x = 402,142.49/565.96
  6. Step 6: Final answer
    x = 710.55

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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.