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Finding the Fourth Proportional to 425.06, 637.79 and 252.07

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Solution

The fourth proportional to 425.06, 637.79 and 252.07 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.06 : 637.79 = 252.07 : x
  2. Step 2: Convert to fraction form
    425.06/637.79 = 252.07/x
  3. Step 3: Cross multiply
    425.06x = 637.79 × 252.07
  4. Step 4: Simplify right side
    425.06x = 160,766.46
  5. Step 5: Solve for x
    x = 160,766.46/425.06
  6. Step 6: Final answer
    x = 378.22

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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.