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Finding the Fourth Proportional to 659.14, 987.80 and 384.85

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Solution

The fourth proportional to 659.14, 987.80 and 384.85 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 987.80 = 384.85 : x
  2. Step 2: Convert to fraction form
    659.14/987.80 = 384.85/x
  3. Step 3: Cross multiply
    659.14x = 987.80 × 384.85
  4. Step 4: Simplify right side
    659.14x = 380,154.14
  5. Step 5: Solve for x
    x = 380,154.14/659.14
  6. Step 6: Final answer
    x = 576.74

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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.