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Finding the Fourth Proportional to 659.46, 989.66 and 385.63

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Solution

The fourth proportional to 659.46, 989.66 and 385.63 is: 578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 989.66 = 385.63 : x
  2. Step 2: Convert to fraction form
    659.46/989.66 = 385.63/x
  3. Step 3: Cross multiply
    659.46x = 989.66 × 385.63
  4. Step 4: Simplify right side
    659.46x = 381,642.59
  5. Step 5: Solve for x
    x = 381,642.59/659.46
  6. Step 6: Final answer
    x = 578.72

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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.