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Finding the Fourth Proportional to 545.92, 752.08 and 462.76

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Solution

The fourth proportional to 545.92, 752.08 and 462.76 is: 637.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.92 : 752.08 = 462.76 : x
  2. Step 2: Convert to fraction form
    545.92/752.08 = 462.76/x
  3. Step 3: Cross multiply
    545.92x = 752.08 × 462.76
  4. Step 4: Simplify right side
    545.92x = 348,032.54
  5. Step 5: Solve for x
    x = 348,032.54/545.92
  6. Step 6: Final answer
    x = 637.52

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