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Finding the Fourth Proportional to 661.32, 991.53 and 314.43

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Solution

The fourth proportional to 661.32, 991.53 and 314.43 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.32 : 991.53 = 314.43 : x
  2. Step 2: Convert to fraction form
    661.32/991.53 = 314.43/x
  3. Step 3: Cross multiply
    661.32x = 991.53 × 314.43
  4. Step 4: Simplify right side
    661.32x = 311,766.78
  5. Step 5: Solve for x
    x = 311,766.78/661.32
  6. Step 6: Final answer
    x = 471.43

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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.