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Finding the Fourth Proportional to 617.56, 925.34 and 464.44

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Solution

The fourth proportional to 617.56, 925.34 and 464.44 is: 695.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 925.34 = 464.44 : x
  2. Step 2: Convert to fraction form
    617.56/925.34 = 464.44/x
  3. Step 3: Cross multiply
    617.56x = 925.34 × 464.44
  4. Step 4: Simplify right side
    617.56x = 429,764.91
  5. Step 5: Solve for x
    x = 429,764.91/617.56
  6. Step 6: Final answer
    x = 695.91

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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.