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Finding the Fourth Proportional to 545.68, 753.24 and 359.23

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Solution

The fourth proportional to 545.68, 753.24 and 359.23 is: 495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.68 : 753.24 = 359.23 : x
  2. Step 2: Convert to fraction form
    545.68/753.24 = 359.23/x
  3. Step 3: Cross multiply
    545.68x = 753.24 × 359.23
  4. Step 4: Simplify right side
    545.68x = 270,586.41
  5. Step 5: Solve for x
    x = 270,586.41/545.68
  6. Step 6: Final answer
    x = 495.87

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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.