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Finding the Fourth Proportional to 617.37, 925.65 and 252.06

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Solution

The fourth proportional to 617.37, 925.65 and 252.06 is: 377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 925.65 = 252.06 : x
  2. Step 2: Convert to fraction form
    617.37/925.65 = 252.06/x
  3. Step 3: Cross multiply
    617.37x = 925.65 × 252.06
  4. Step 4: Simplify right side
    617.37x = 233,319.34
  5. Step 5: Solve for x
    x = 233,319.34/617.37
  6. Step 6: Final answer
    x = 377.92

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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.