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Finding the Fourth Proportional to 478.13, 659.77 and 268.29

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Solution

The fourth proportional to 478.13, 659.77 and 268.29 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 659.77 = 268.29 : x
  2. Step 2: Convert to fraction form
    478.13/659.77 = 268.29/x
  3. Step 3: Cross multiply
    478.13x = 659.77 × 268.29
  4. Step 4: Simplify right side
    478.13x = 177,009.69
  5. Step 5: Solve for x
    x = 177,009.69/478.13
  6. Step 6: Final answer
    x = 370.21

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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.