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Finding the Fourth Proportional to 545.34, 752.63 and 324.33

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Solution

The fourth proportional to 545.34, 752.63 and 324.33 is: 447.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.34 : 752.63 = 324.33 : x
  2. Step 2: Convert to fraction form
    545.34/752.63 = 324.33/x
  3. Step 3: Cross multiply
    545.34x = 752.63 × 324.33
  4. Step 4: Simplify right side
    545.34x = 244,100.49
  5. Step 5: Solve for x
    x = 244,100.49/545.34
  6. Step 6: Final answer
    x = 447.61

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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.