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Finding the Fourth Proportional to 651.52, 898.32 and 476.80

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Solution

The fourth proportional to 651.52, 898.32 and 476.80 is: 657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.52 : 898.32 = 476.80 : x
  2. Step 2: Convert to fraction form
    651.52/898.32 = 476.80/x
  3. Step 3: Cross multiply
    651.52x = 898.32 × 476.80
  4. Step 4: Simplify right side
    651.52x = 428,318.98
  5. Step 5: Solve for x
    x = 428,318.98/651.52
  6. Step 6: Final answer
    x = 657.41

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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.