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Finding the Fourth Proportional to 534.13, 800.65 and 209.05

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Solution

The fourth proportional to 534.13, 800.65 and 209.05 is: 313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 800.65 = 209.05 : x
  2. Step 2: Convert to fraction form
    534.13/800.65 = 209.05/x
  3. Step 3: Cross multiply
    534.13x = 800.65 × 209.05
  4. Step 4: Simplify right side
    534.13x = 167,375.88
  5. Step 5: Solve for x
    x = 167,375.88/534.13
  6. Step 6: Final answer
    x = 313.36

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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.