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Finding the Fourth Proportional to 463.29, 694.08 and 428.91

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Solution

The fourth proportional to 463.29, 694.08 and 428.91 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.29 : 694.08 = 428.91 : x
  2. Step 2: Convert to fraction form
    463.29/694.08 = 428.91/x
  3. Step 3: Cross multiply
    463.29x = 694.08 × 428.91
  4. Step 4: Simplify right side
    463.29x = 297,697.85
  5. Step 5: Solve for x
    x = 297,697.85/463.29
  6. Step 6: Final answer
    x = 642.57

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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.