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Finding the Fourth Proportional to 659.48, 988.64 and 248.50

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Solution

The fourth proportional to 659.48, 988.64 and 248.50 is: 372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.48 : 988.64 = 248.50 : x
  2. Step 2: Convert to fraction form
    659.48/988.64 = 248.50/x
  3. Step 3: Cross multiply
    659.48x = 988.64 × 248.50
  4. Step 4: Simplify right side
    659.48x = 245,677.04
  5. Step 5: Solve for x
    x = 245,677.04/659.48
  6. Step 6: Final answer
    x = 372.53

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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.