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Finding the Fourth Proportional to 659.55, 989.33 and 243.14

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Solution

The fourth proportional to 659.55, 989.33 and 243.14 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.55 : 989.33 = 243.14 : x
  2. Step 2: Convert to fraction form
    659.55/989.33 = 243.14/x
  3. Step 3: Cross multiply
    659.55x = 989.33 × 243.14
  4. Step 4: Simplify right side
    659.55x = 240,546.95
  5. Step 5: Solve for x
    x = 240,546.95/659.55
  6. Step 6: Final answer
    x = 364.71

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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.