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Finding the Fourth Proportional to 542.41, 812.46 and 250.15

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Solution

The fourth proportional to 542.41, 812.46 and 250.15 is: 374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.41 : 812.46 = 250.15 : x
  2. Step 2: Convert to fraction form
    542.41/812.46 = 250.15/x
  3. Step 3: Cross multiply
    542.41x = 812.46 × 250.15
  4. Step 4: Simplify right side
    542.41x = 203,234.84
  5. Step 5: Solve for x
    x = 203,234.84/542.41
  6. Step 6: Final answer
    x = 374.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.