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Finding the Fourth Proportional to 338.64, 461.04 and 332.88

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Solution

The fourth proportional to 338.64, 461.04 and 332.88 is: 453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 461.04 = 332.88 : x
  2. Step 2: Convert to fraction form
    338.64/461.04 = 332.88/x
  3. Step 3: Cross multiply
    338.64x = 461.04 × 332.88
  4. Step 4: Simplify right side
    338.64x = 153,471.00
  5. Step 5: Solve for x
    x = 153,471.00/338.64
  6. Step 6: Final answer
    x = 453.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.