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Finding the Fourth Proportional to 463.89, 694.48 and 402

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Solution

The fourth proportional to 463.89, 694.48 and 402 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 694.48 = 402 : x
  2. Step 2: Convert to fraction form
    463.89/694.48 = 402/x
  3. Step 3: Cross multiply
    463.89x = 694.48 × 402
  4. Step 4: Simplify right side
    463.89x = 279,180.96
  5. Step 5: Solve for x
    x = 279,180.96/463.89
  6. Step 6: Final answer
    x = 601.83

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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.