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Finding the Fourth Proportional to 463.69, 698.29 and 403.55

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Solution

The fourth proportional to 463.69, 698.29 and 403.55 is: 607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.69 : 698.29 = 403.55 : x
  2. Step 2: Convert to fraction form
    463.69/698.29 = 403.55/x
  3. Step 3: Cross multiply
    463.69x = 698.29 × 403.55
  4. Step 4: Simplify right side
    463.69x = 281,793.05
  5. Step 5: Solve for x
    x = 281,793.05/463.69
  6. Step 6: Final answer
    x = 607.72

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