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Finding the Fourth Proportional to 662.20, 913.62 and 429.46

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Solution

The fourth proportional to 662.20, 913.62 and 429.46 is: 592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 913.62 = 429.46 : x
  2. Step 2: Convert to fraction form
    662.20/913.62 = 429.46/x
  3. Step 3: Cross multiply
    662.20x = 913.62 × 429.46
  4. Step 4: Simplify right side
    662.20x = 392,363.25
  5. Step 5: Solve for x
    x = 392,363.25/662.20
  6. Step 6: Final answer
    x = 592.51

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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.