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Finding the Fourth Proportional to 660.76, 991.14 and 314.48

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Solution

The fourth proportional to 660.76, 991.14 and 314.48 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.76 : 991.14 = 314.48 : x
  2. Step 2: Convert to fraction form
    660.76/991.14 = 314.48/x
  3. Step 3: Cross multiply
    660.76x = 991.14 × 314.48
  4. Step 4: Simplify right side
    660.76x = 311,695.01
  5. Step 5: Solve for x
    x = 311,695.01/660.76
  6. Step 6: Final answer
    x = 471.72

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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.