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Finding the Fourth Proportional to 425.16, 638.10 and 252

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Solution

The fourth proportional to 425.16, 638.10 and 252 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 638.10 = 252 : x
  2. Step 2: Convert to fraction form
    425.16/638.10 = 252/x
  3. Step 3: Cross multiply
    425.16x = 638.10 × 252
  4. Step 4: Simplify right side
    425.16x = 160,801.20
  5. Step 5: Solve for x
    x = 160,801.20/425.16
  6. Step 6: Final answer
    x = 378.21

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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.