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Finding the Fourth Proportional to 617.57, 925.55 and 252.16

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Solution

The fourth proportional to 617.57, 925.55 and 252.16 is: 377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.57 : 925.55 = 252.16 : x
  2. Step 2: Convert to fraction form
    617.57/925.55 = 252.16/x
  3. Step 3: Cross multiply
    617.57x = 925.55 × 252.16
  4. Step 4: Simplify right side
    617.57x = 233,386.69
  5. Step 5: Solve for x
    x = 233,386.69/617.57
  6. Step 6: Final answer
    x = 377.91

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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.