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Finding the Fourth Proportional to 460.34, 691.82 and 429.16

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Solution

The fourth proportional to 460.34, 691.82 and 429.16 is: 644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 691.82 = 429.16 : x
  2. Step 2: Convert to fraction form
    460.34/691.82 = 429.16/x
  3. Step 3: Cross multiply
    460.34x = 691.82 × 429.16
  4. Step 4: Simplify right side
    460.34x = 296,901.47
  5. Step 5: Solve for x
    x = 296,901.47/460.34
  6. Step 6: Final answer
    x = 644.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.