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Finding the Fourth Proportional to 574.74, 860.49 and 534.24

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Solution

The fourth proportional to 574.74, 860.49 and 534.24 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.74 : 860.49 = 534.24 : x
  2. Step 2: Convert to fraction form
    574.74/860.49 = 534.24/x
  3. Step 3: Cross multiply
    574.74x = 860.49 × 534.24
  4. Step 4: Simplify right side
    574.74x = 459,708.18
  5. Step 5: Solve for x
    x = 459,708.18/574.74
  6. Step 6: Final answer
    x = 799.85

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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.