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Finding the Fourth Proportional to 338.22, 466.80 and 259.42

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Solution

The fourth proportional to 338.22, 466.80 and 259.42 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.22 : 466.80 = 259.42 : x
  2. Step 2: Convert to fraction form
    338.22/466.80 = 259.42/x
  3. Step 3: Cross multiply
    338.22x = 466.80 × 259.42
  4. Step 4: Simplify right side
    338.22x = 121,097.26
  5. Step 5: Solve for x
    x = 121,097.26/338.22
  6. Step 6: Final answer
    x = 358.04

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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.