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Finding the Fourth Proportional to 338.76, 466.43 and 297.09

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Solution

The fourth proportional to 338.76, 466.43 and 297.09 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.76 : 466.43 = 297.09 : x
  2. Step 2: Convert to fraction form
    338.76/466.43 = 297.09/x
  3. Step 3: Cross multiply
    338.76x = 466.43 × 297.09
  4. Step 4: Simplify right side
    338.76x = 138,570.20
  5. Step 5: Solve for x
    x = 138,570.20/338.76
  6. Step 6: Final answer
    x = 409.05

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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.