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Finding the Fourth Proportional to 463.50, 698.52 and 437.04

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Solution

The fourth proportional to 463.50, 698.52 and 437.04 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 698.52 = 437.04 : x
  2. Step 2: Convert to fraction form
    463.50/698.52 = 437.04/x
  3. Step 3: Cross multiply
    463.50x = 698.52 × 437.04
  4. Step 4: Simplify right side
    463.50x = 305,281.18
  5. Step 5: Solve for x
    x = 305,281.18/463.50
  6. Step 6: Final answer
    x = 658.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.