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Finding the Fourth Proportional to 650.97, 898.38 and 429.54

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Solution

The fourth proportional to 650.97, 898.38 and 429.54 is: 592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.97 : 898.38 = 429.54 : x
  2. Step 2: Convert to fraction form
    650.97/898.38 = 429.54/x
  3. Step 3: Cross multiply
    650.97x = 898.38 × 429.54
  4. Step 4: Simplify right side
    650.97x = 385,886.73
  5. Step 5: Solve for x
    x = 385,886.73/650.97
  6. Step 6: Final answer
    x = 592.79

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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.