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Finding the Fourth Proportional to 567.54, 781.79 and 474.26

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Solution

The fourth proportional to 567.54, 781.79 and 474.26 is: 653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 781.79 = 474.26 : x
  2. Step 2: Convert to fraction form
    567.54/781.79 = 474.26/x
  3. Step 3: Cross multiply
    567.54x = 781.79 × 474.26
  4. Step 4: Simplify right side
    567.54x = 370,765.45
  5. Step 5: Solve for x
    x = 370,765.45/567.54
  6. Step 6: Final answer
    x = 653.29

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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.