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Finding the Fourth Proportional to 338.31, 466.36 and 296.80

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Solution

The fourth proportional to 338.31, 466.36 and 296.80 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 466.36 = 296.80 : x
  2. Step 2: Convert to fraction form
    338.31/466.36 = 296.80/x
  3. Step 3: Cross multiply
    338.31x = 466.36 × 296.80
  4. Step 4: Simplify right side
    338.31x = 138,413.74
  5. Step 5: Solve for x
    x = 138,413.74/338.31
  6. Step 6: Final answer
    x = 409.13

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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.