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Finding the Fourth Proportional to 534.71, 801.74 and 209.84

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Solution

The fourth proportional to 534.71, 801.74 and 209.84 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 801.74 = 209.84 : x
  2. Step 2: Convert to fraction form
    534.71/801.74 = 209.84/x
  3. Step 3: Cross multiply
    534.71x = 801.74 × 209.84
  4. Step 4: Simplify right side
    534.71x = 168,232.06
  5. Step 5: Solve for x
    x = 168,232.06/534.71
  6. Step 6: Final answer
    x = 314.63

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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.