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Finding the Fourth Proportional to 660.28, 991.02 and 456.16

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Solution

The fourth proportional to 660.28, 991.02 and 456.16 is: 684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.28 : 991.02 = 456.16 : x
  2. Step 2: Convert to fraction form
    660.28/991.02 = 456.16/x
  3. Step 3: Cross multiply
    660.28x = 991.02 × 456.16
  4. Step 4: Simplify right side
    660.28x = 452,063.68
  5. Step 5: Solve for x
    x = 452,063.68/660.28
  6. Step 6: Final answer
    x = 684.65

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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.