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Finding the Fourth Proportional to 478.04, 659.73 and 338.21

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Solution

The fourth proportional to 478.04, 659.73 and 338.21 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 659.73 = 338.21 : x
  2. Step 2: Convert to fraction form
    478.04/659.73 = 338.21/x
  3. Step 3: Cross multiply
    478.04x = 659.73 × 338.21
  4. Step 4: Simplify right side
    478.04x = 223,123.98
  5. Step 5: Solve for x
    x = 223,123.98/478.04
  6. Step 6: Final answer
    x = 466.75

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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.