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Finding the Fourth Proportional to 545.18, 752.00 and 379.53

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Solution

The fourth proportional to 545.18, 752.00 and 379.53 is: 523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.18 : 752.00 = 379.53 : x
  2. Step 2: Convert to fraction form
    545.18/752.00 = 379.53/x
  3. Step 3: Cross multiply
    545.18x = 752.00 × 379.53
  4. Step 4: Simplify right side
    545.18x = 285,404.66
  5. Step 5: Solve for x
    x = 285,404.66/545.18
  6. Step 6: Final answer
    x = 523.51

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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.