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Finding the Fourth Proportional to 478.05, 659.39 and 338.15

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Solution

The fourth proportional to 478.05, 659.39 and 338.15 is: 466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.05 : 659.39 = 338.15 : x
  2. Step 2: Convert to fraction form
    478.05/659.39 = 338.15/x
  3. Step 3: Cross multiply
    478.05x = 659.39 × 338.15
  4. Step 4: Simplify right side
    478.05x = 222,967.74
  5. Step 5: Solve for x
    x = 222,967.74/478.05
  6. Step 6: Final answer
    x = 466.41

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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.