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Finding the Fourth Proportional to 545.46, 752.50 and 379.78

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Solution

The fourth proportional to 545.46, 752.50 and 379.78 is: 523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.46 : 752.50 = 379.78 : x
  2. Step 2: Convert to fraction form
    545.46/752.50 = 379.78/x
  3. Step 3: Cross multiply
    545.46x = 752.50 × 379.78
  4. Step 4: Simplify right side
    545.46x = 285,784.45
  5. Step 5: Solve for x
    x = 285,784.45/545.46
  6. Step 6: Final answer
    x = 523.93

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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.