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Finding the Fourth Proportional to 658.69, 988.53 and 312.13

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Solution

The fourth proportional to 658.69, 988.53 and 312.13 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.69 : 988.53 = 312.13 : x
  2. Step 2: Convert to fraction form
    658.69/988.53 = 312.13/x
  3. Step 3: Cross multiply
    658.69x = 988.53 × 312.13
  4. Step 4: Simplify right side
    658.69x = 308,546.94
  5. Step 5: Solve for x
    x = 308,546.94/658.69
  6. Step 6: Final answer
    x = 468.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.