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Finding the Fourth Proportional to 534.81, 801.90 and 209.82

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Solution

The fourth proportional to 534.81, 801.90 and 209.82 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.81 : 801.90 = 209.82 : x
  2. Step 2: Convert to fraction form
    534.81/801.90 = 209.82/x
  3. Step 3: Cross multiply
    534.81x = 801.90 × 209.82
  4. Step 4: Simplify right side
    534.81x = 168,254.66
  5. Step 5: Solve for x
    x = 168,254.66/534.81
  6. Step 6: Final answer
    x = 314.61

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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.