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Finding the Fourth Proportional to 567.08, 781.92 and 488.30

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Solution

The fourth proportional to 567.08, 781.92 and 488.30 is: 673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.08 : 781.92 = 488.30 : x
  2. Step 2: Convert to fraction form
    567.08/781.92 = 488.30/x
  3. Step 3: Cross multiply
    567.08x = 781.92 × 488.30
  4. Step 4: Simplify right side
    567.08x = 381,811.54
  5. Step 5: Solve for x
    x = 381,811.54/567.08
  6. Step 6: Final answer
    x = 673.29

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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.