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Finding the Fourth Proportional to 659.66, 989.18 and 385.83

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Solution

The fourth proportional to 659.66, 989.18 and 385.83 is: 578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 989.18 = 385.83 : x
  2. Step 2: Convert to fraction form
    659.66/989.18 = 385.83/x
  3. Step 3: Cross multiply
    659.66x = 989.18 × 385.83
  4. Step 4: Simplify right side
    659.66x = 381,654.84
  5. Step 5: Solve for x
    x = 381,654.84/659.66
  6. Step 6: Final answer
    x = 578.57

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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.