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Finding the Fourth Proportional to 545.14, 752.31 and 324.11

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Solution

The fourth proportional to 545.14, 752.31 and 324.11 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 752.31 = 324.11 : x
  2. Step 2: Convert to fraction form
    545.14/752.31 = 324.11/x
  3. Step 3: Cross multiply
    545.14x = 752.31 × 324.11
  4. Step 4: Simplify right side
    545.14x = 243,831.19
  5. Step 5: Solve for x
    x = 243,831.19/545.14
  6. Step 6: Final answer
    x = 447.28

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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.