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Finding the Fourth Proportional to 425.53, 638.31 and 377.38

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Solution

The fourth proportional to 425.53, 638.31 and 377.38 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.53 : 638.31 = 377.38 : x
  2. Step 2: Convert to fraction form
    425.53/638.31 = 377.38/x
  3. Step 3: Cross multiply
    425.53x = 638.31 × 377.38
  4. Step 4: Simplify right side
    425.53x = 240,885.43
  5. Step 5: Solve for x
    x = 240,885.43/425.53
  6. Step 6: Final answer
    x = 566.08

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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.