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Finding the Fourth Proportional to 534.26, 800.90 and 209.55

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Solution

The fourth proportional to 534.26, 800.90 and 209.55 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 800.90 = 209.55 : x
  2. Step 2: Convert to fraction form
    534.26/800.90 = 209.55/x
  3. Step 3: Cross multiply
    534.26x = 800.90 × 209.55
  4. Step 4: Simplify right side
    534.26x = 167,828.60
  5. Step 5: Solve for x
    x = 167,828.60/534.26
  6. Step 6: Final answer
    x = 314.13

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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.