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Finding the Fourth Proportional to 478.38, 659.46 and 338.04

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Solution

The fourth proportional to 478.38, 659.46 and 338.04 is: 466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.38 : 659.46 = 338.04 : x
  2. Step 2: Convert to fraction form
    478.38/659.46 = 338.04/x
  3. Step 3: Cross multiply
    478.38x = 659.46 × 338.04
  4. Step 4: Simplify right side
    478.38x = 222,923.86
  5. Step 5: Solve for x
    x = 222,923.86/478.38
  6. Step 6: Final answer
    x = 466.00

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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.