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Finding the Fourth Proportional to 567.04, 781.68 and 400.74

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Solution

The fourth proportional to 567.04, 781.68 and 400.74 is: 552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.04 : 781.68 = 400.74 : x
  2. Step 2: Convert to fraction form
    567.04/781.68 = 400.74/x
  3. Step 3: Cross multiply
    567.04x = 781.68 × 400.74
  4. Step 4: Simplify right side
    567.04x = 313,250.44
  5. Step 5: Solve for x
    x = 313,250.44/567.04
  6. Step 6: Final answer
    x = 552.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.