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Finding the Fourth Proportional to 545.07, 752.17 and 296.38

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Solution

The fourth proportional to 545.07, 752.17 and 296.38 is: 408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.07 : 752.17 = 296.38 : x
  2. Step 2: Convert to fraction form
    545.07/752.17 = 296.38/x
  3. Step 3: Cross multiply
    545.07x = 752.17 × 296.38
  4. Step 4: Simplify right side
    545.07x = 222,924.38
  5. Step 5: Solve for x
    x = 222,924.38/545.07
  6. Step 6: Final answer
    x = 408.99

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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.