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Finding the Fourth Proportional to 659.20, 988.71 and 412.42

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Solution

The fourth proportional to 659.20, 988.71 and 412.42 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 988.71 = 412.42 : x
  2. Step 2: Convert to fraction form
    659.20/988.71 = 412.42/x
  3. Step 3: Cross multiply
    659.20x = 988.71 × 412.42
  4. Step 4: Simplify right side
    659.20x = 407,763.78
  5. Step 5: Solve for x
    x = 407,763.78/659.20
  6. Step 6: Final answer
    x = 618.58

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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.