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Finding the Fourth Proportional to 659.84, 989.46 and 386.02

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Solution

The fourth proportional to 659.84, 989.46 and 386.02 is: 578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.84 : 989.46 = 386.02 : x
  2. Step 2: Convert to fraction form
    659.84/989.46 = 386.02/x
  3. Step 3: Cross multiply
    659.84x = 989.46 × 386.02
  4. Step 4: Simplify right side
    659.84x = 381,951.35
  5. Step 5: Solve for x
    x = 381,951.35/659.84
  6. Step 6: Final answer
    x = 578.85

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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.