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Finding the Fourth Proportional to 658.89, 988.47 and 248.06

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Solution

The fourth proportional to 658.89, 988.47 and 248.06 is: 372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.89 : 988.47 = 248.06 : x
  2. Step 2: Convert to fraction form
    658.89/988.47 = 248.06/x
  3. Step 3: Cross multiply
    658.89x = 988.47 × 248.06
  4. Step 4: Simplify right side
    658.89x = 245,202.34
  5. Step 5: Solve for x
    x = 245,202.34/658.89
  6. Step 6: Final answer
    x = 372.14

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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.