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Finding the Fourth Proportional to 425.74, 637.02 and 252.48

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Solution

The fourth proportional to 425.74, 637.02 and 252.48 is: 377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.74 : 637.02 = 252.48 : x
  2. Step 2: Convert to fraction form
    425.74/637.02 = 252.48/x
  3. Step 3: Cross multiply
    425.74x = 637.02 × 252.48
  4. Step 4: Simplify right side
    425.74x = 160,834.81
  5. Step 5: Solve for x
    x = 160,834.81/425.74
  6. Step 6: Final answer
    x = 377.78

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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.