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Finding the Fourth Proportional to 651.38, 898.10 and 476.42

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Solution

The fourth proportional to 651.38, 898.10 and 476.42 is: 656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.38 : 898.10 = 476.42 : x
  2. Step 2: Convert to fraction form
    651.38/898.10 = 476.42/x
  3. Step 3: Cross multiply
    651.38x = 898.10 × 476.42
  4. Step 4: Simplify right side
    651.38x = 427,872.80
  5. Step 5: Solve for x
    x = 427,872.80/651.38
  6. Step 6: Final answer
    x = 656.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.