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Finding the Fourth Proportional to 534.09, 801.41 and 209.69

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Solution

The fourth proportional to 534.09, 801.41 and 209.69 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 801.41 = 209.69 : x
  2. Step 2: Convert to fraction form
    534.09/801.41 = 209.69/x
  3. Step 3: Cross multiply
    534.09x = 801.41 × 209.69
  4. Step 4: Simplify right side
    534.09x = 168,042.61
  5. Step 5: Solve for x
    x = 168,042.61/534.09
  6. Step 6: Final answer
    x = 314.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.