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Finding the Fourth Proportional to 478.15, 659.89 and 268.32

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Solution

The fourth proportional to 478.15, 659.89 and 268.32 is: 370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.15 : 659.89 = 268.32 : x
  2. Step 2: Convert to fraction form
    478.15/659.89 = 268.32/x
  3. Step 3: Cross multiply
    478.15x = 659.89 × 268.32
  4. Step 4: Simplify right side
    478.15x = 177,063.33
  5. Step 5: Solve for x
    x = 177,063.33/478.15
  6. Step 6: Final answer
    x = 370.31

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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.