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Finding the Fourth Proportional to 617.92, 925.66 and 464.02

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Solution

The fourth proportional to 617.92, 925.66 and 464.02 is: 695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.92 : 925.66 = 464.02 : x
  2. Step 2: Convert to fraction form
    617.92/925.66 = 464.02/x
  3. Step 3: Cross multiply
    617.92x = 925.66 × 464.02
  4. Step 4: Simplify right side
    617.92x = 429,524.75
  5. Step 5: Solve for x
    x = 429,524.75/617.92
  6. Step 6: Final answer
    x = 695.11

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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.