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Finding the Fourth Proportional to 534.42, 801.94 and 209.77

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Solution

The fourth proportional to 534.42, 801.94 and 209.77 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 801.94 = 209.77 : x
  2. Step 2: Convert to fraction form
    534.42/801.94 = 209.77/x
  3. Step 3: Cross multiply
    534.42x = 801.94 × 209.77
  4. Step 4: Simplify right side
    534.42x = 168,222.95
  5. Step 5: Solve for x
    x = 168,222.95/534.42
  6. Step 6: Final answer
    x = 314.78

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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.