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Finding the Fourth Proportional to 545.29, 752.26 and 324.12

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Solution

The fourth proportional to 545.29, 752.26 and 324.12 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.29 : 752.26 = 324.12 : x
  2. Step 2: Convert to fraction form
    545.29/752.26 = 324.12/x
  3. Step 3: Cross multiply
    545.29x = 752.26 × 324.12
  4. Step 4: Simplify right side
    545.29x = 243,820.89
  5. Step 5: Solve for x
    x = 243,820.89/545.29
  6. Step 6: Final answer
    x = 447.14

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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.