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Finding the Fourth Proportional to 660.78, 989.84 and 314.45

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Solution

The fourth proportional to 660.78, 989.84 and 314.45 is: 471.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 989.84 = 314.45 : x
  2. Step 2: Convert to fraction form
    660.78/989.84 = 314.45/x
  3. Step 3: Cross multiply
    660.78x = 989.84 × 314.45
  4. Step 4: Simplify right side
    660.78x = 311,251.02
  5. Step 5: Solve for x
    x = 311,251.02/660.78
  6. Step 6: Final answer
    x = 471.04

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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.