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Finding the Fourth Proportional to 478.25, 659.82 and 312.56

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Solution

The fourth proportional to 478.25, 659.82 and 312.56 is: 431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.25 : 659.82 = 312.56 : x
  2. Step 2: Convert to fraction form
    478.25/659.82 = 312.56/x
  3. Step 3: Cross multiply
    478.25x = 659.82 × 312.56
  4. Step 4: Simplify right side
    478.25x = 206,235.59
  5. Step 5: Solve for x
    x = 206,235.59/478.25
  6. Step 6: Final answer
    x = 431.23

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