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Finding the Fourth Proportional to 659.52, 989.10 and 248.88

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Solution

The fourth proportional to 659.52, 989.10 and 248.88 is: 373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 989.10 = 248.88 : x
  2. Step 2: Convert to fraction form
    659.52/989.10 = 248.88/x
  3. Step 3: Cross multiply
    659.52x = 989.10 × 248.88
  4. Step 4: Simplify right side
    659.52x = 246,167.21
  5. Step 5: Solve for x
    x = 246,167.21/659.52
  6. Step 6: Final answer
    x = 373.25

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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.