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Finding the Fourth Proportional to 651.92, 898.83 and 476.96

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Solution

The fourth proportional to 651.92, 898.83 and 476.96 is: 657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 898.83 = 476.96 : x
  2. Step 2: Convert to fraction form
    651.92/898.83 = 476.96/x
  3. Step 3: Cross multiply
    651.92x = 898.83 × 476.96
  4. Step 4: Simplify right side
    651.92x = 428,701.46
  5. Step 5: Solve for x
    x = 428,701.46/651.92
  6. Step 6: Final answer
    x = 657.60

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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.