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Finding the Fourth Proportional to 658.85, 988.99 and 269.12

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Solution

The fourth proportional to 658.85, 988.99 and 269.12 is: 403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.85 : 988.99 = 269.12 : x
  2. Step 2: Convert to fraction form
    658.85/988.99 = 269.12/x
  3. Step 3: Cross multiply
    658.85x = 988.99 × 269.12
  4. Step 4: Simplify right side
    658.85x = 266,158.79
  5. Step 5: Solve for x
    x = 266,158.79/658.85
  6. Step 6: Final answer
    x = 403.98

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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.