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Finding the Fourth Proportional to 661.46, 991.85 and 332.03

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Solution

The fourth proportional to 661.46, 991.85 and 332.03 is: 497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.46 : 991.85 = 332.03 : x
  2. Step 2: Convert to fraction form
    661.46/991.85 = 332.03/x
  3. Step 3: Cross multiply
    661.46x = 991.85 × 332.03
  4. Step 4: Simplify right side
    661.46x = 329,324.77
  5. Step 5: Solve for x
    x = 329,324.77/661.46
  6. Step 6: Final answer
    x = 497.88

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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.