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Finding the Fourth Proportional to 463.62, 694.85 and 405.71

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Solution

The fourth proportional to 463.62, 694.85 and 405.71 is: 608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.62 : 694.85 = 405.71 : x
  2. Step 2: Convert to fraction form
    463.62/694.85 = 405.71/x
  3. Step 3: Cross multiply
    463.62x = 694.85 × 405.71
  4. Step 4: Simplify right side
    463.62x = 281,905.13
  5. Step 5: Solve for x
    x = 281,905.13/463.62
  6. Step 6: Final answer
    x = 608.05

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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.