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Finding the Fourth Proportional to 545.72, 752.88 and 359.31

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Solution

The fourth proportional to 545.72, 752.88 and 359.31 is: 495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.72 : 752.88 = 359.31 : x
  2. Step 2: Convert to fraction form
    545.72/752.88 = 359.31/x
  3. Step 3: Cross multiply
    545.72x = 752.88 × 359.31
  4. Step 4: Simplify right side
    545.72x = 270,517.31
  5. Step 5: Solve for x
    x = 270,517.31/545.72
  6. Step 6: Final answer
    x = 495.71

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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.