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Finding the Fourth Proportional to 574.21, 860.10 and 532.90

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Solution

The fourth proportional to 574.21, 860.10 and 532.90 is: 798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.21 : 860.10 = 532.90 : x
  2. Step 2: Convert to fraction form
    574.21/860.10 = 532.90/x
  3. Step 3: Cross multiply
    574.21x = 860.10 × 532.90
  4. Step 4: Simplify right side
    574.21x = 458,346.37
  5. Step 5: Solve for x
    x = 458,346.37/574.21
  6. Step 6: Final answer
    x = 798.22

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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.