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Finding the Fourth Proportional to 545.67, 817.70 and 424.17

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Solution

The fourth proportional to 545.67, 817.70 and 424.17 is: 635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.67 : 817.70 = 424.17 : x
  2. Step 2: Convert to fraction form
    545.67/817.70 = 424.17/x
  3. Step 3: Cross multiply
    545.67x = 817.70 × 424.17
  4. Step 4: Simplify right side
    545.67x = 346,841.69
  5. Step 5: Solve for x
    x = 346,841.69/545.67
  6. Step 6: Final answer
    x = 635.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.