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Finding the Fourth Proportional to 478.28, 659.94 and 268.49

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Solution

The fourth proportional to 478.28, 659.94 and 268.49 is: 370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.28 : 659.94 = 268.49 : x
  2. Step 2: Convert to fraction form
    478.28/659.94 = 268.49/x
  3. Step 3: Cross multiply
    478.28x = 659.94 × 268.49
  4. Step 4: Simplify right side
    478.28x = 177,187.29
  5. Step 5: Solve for x
    x = 177,187.29/478.28
  6. Step 6: Final answer
    x = 370.47

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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.