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Finding the Fourth Proportional to 545.72, 752.91 and 324.71

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Solution

The fourth proportional to 545.72, 752.91 and 324.71 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 752.91 = 324.71 : x
  2. Step 2: Convert to fraction form
    545.72/752.91 = 324.71/x
  3. Step 3: Cross multiply
    545.72x = 752.91 × 324.71
  4. Step 4: Simplify right side
    545.72x = 244,477.41
  5. Step 5: Solve for x
    x = 244,477.41/545.72
  6. Step 6: Final answer
    x = 447.99

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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.