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Finding the Fourth Proportional to 417.41, 624.65 and 252.78

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Solution

The fourth proportional to 417.41, 624.65 and 252.78 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.41 : 624.65 = 252.78 : x
  2. Step 2: Convert to fraction form
    417.41/624.65 = 252.78/x
  3. Step 3: Cross multiply
    417.41x = 624.65 × 252.78
  4. Step 4: Simplify right side
    417.41x = 157,900.63
  5. Step 5: Solve for x
    x = 157,900.63/417.41
  6. Step 6: Final answer
    x = 378.29

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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.