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Finding the Fourth Proportional to 567.22, 781.47 and 473.44

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Solution

The fourth proportional to 567.22, 781.47 and 473.44 is: 652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.22 : 781.47 = 473.44 : x
  2. Step 2: Convert to fraction form
    567.22/781.47 = 473.44/x
  3. Step 3: Cross multiply
    567.22x = 781.47 × 473.44
  4. Step 4: Simplify right side
    567.22x = 369,979.16
  5. Step 5: Solve for x
    x = 369,979.16/567.22
  6. Step 6: Final answer
    x = 652.27

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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.