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Finding the Fourth Proportional to 478.42, 660.07 and 268.57

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Solution

The fourth proportional to 478.42, 660.07 and 268.57 is: 370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.42 : 660.07 = 268.57 : x
  2. Step 2: Convert to fraction form
    478.42/660.07 = 268.57/x
  3. Step 3: Cross multiply
    478.42x = 660.07 × 268.57
  4. Step 4: Simplify right side
    478.42x = 177,276.16
  5. Step 5: Solve for x
    x = 177,276.16/478.42
  6. Step 6: Final answer
    x = 370.55

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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.