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Finding the Fourth Proportional to 659.68, 989.80 and 335.14

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Solution

The fourth proportional to 659.68, 989.80 and 335.14 is: 502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 989.80 = 335.14 : x
  2. Step 2: Convert to fraction form
    659.68/989.80 = 335.14/x
  3. Step 3: Cross multiply
    659.68x = 989.80 × 335.14
  4. Step 4: Simplify right side
    659.68x = 331,721.57
  5. Step 5: Solve for x
    x = 331,721.57/659.68
  6. Step 6: Final answer
    x = 502.85

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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.