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Finding the Fourth Proportional to 534.45, 801.71 and 209.82

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Solution

The fourth proportional to 534.45, 801.71 and 209.82 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.45 : 801.71 = 209.82 : x
  2. Step 2: Convert to fraction form
    534.45/801.71 = 209.82/x
  3. Step 3: Cross multiply
    534.45x = 801.71 × 209.82
  4. Step 4: Simplify right side
    534.45x = 168,213.74
  5. Step 5: Solve for x
    x = 168,213.74/534.45
  6. Step 6: Final answer
    x = 314.74

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Why These Related Problems?

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