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Finding the Fourth Proportional to 617.32, 925.34 and 292.44

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Solution

The fourth proportional to 617.32, 925.34 and 292.44 is: 438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.32 : 925.34 = 292.44 : x
  2. Step 2: Convert to fraction form
    617.32/925.34 = 292.44/x
  3. Step 3: Cross multiply
    617.32x = 925.34 × 292.44
  4. Step 4: Simplify right side
    617.32x = 270,606.43
  5. Step 5: Solve for x
    x = 270,606.43/617.32
  6. Step 6: Final answer
    x = 438.36

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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.