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Finding the Fourth Proportional to 478.64, 660.57 and 312.92

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Solution

The fourth proportional to 478.64, 660.57 and 312.92 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.64 : 660.57 = 312.92 : x
  2. Step 2: Convert to fraction form
    478.64/660.57 = 312.92/x
  3. Step 3: Cross multiply
    478.64x = 660.57 × 312.92
  4. Step 4: Simplify right side
    478.64x = 206,705.56
  5. Step 5: Solve for x
    x = 206,705.56/478.64
  6. Step 6: Final answer
    x = 431.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.