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Finding the Fourth Proportional to 463.32, 691.60 and 429.48

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Solution

The fourth proportional to 463.32, 691.60 and 429.48 is: 641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 691.60 = 429.48 : x
  2. Step 2: Convert to fraction form
    463.32/691.60 = 429.48/x
  3. Step 3: Cross multiply
    463.32x = 691.60 × 429.48
  4. Step 4: Simplify right side
    463.32x = 297,028.37
  5. Step 5: Solve for x
    x = 297,028.37/463.32
  6. Step 6: Final answer
    x = 641.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.