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Finding the Fourth Proportional to 617.42, 925.58 and 252.14

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Solution

The fourth proportional to 617.42, 925.58 and 252.14 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 925.58 = 252.14 : x
  2. Step 2: Convert to fraction form
    617.42/925.58 = 252.14/x
  3. Step 3: Cross multiply
    617.42x = 925.58 × 252.14
  4. Step 4: Simplify right side
    617.42x = 233,375.74
  5. Step 5: Solve for x
    x = 233,375.74/617.42
  6. Step 6: Final answer
    x = 377.99

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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.