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Finding the Fourth Proportional to 650.75, 898.11 and 429.71

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Solution

The fourth proportional to 650.75, 898.11 and 429.71 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 898.11 = 429.71 : x
  2. Step 2: Convert to fraction form
    650.75/898.11 = 429.71/x
  3. Step 3: Cross multiply
    650.75x = 898.11 × 429.71
  4. Step 4: Simplify right side
    650.75x = 385,922.36
  5. Step 5: Solve for x
    x = 385,922.36/650.75
  6. Step 6: Final answer
    x = 593.05

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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.