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Finding the Fourth Proportional to 574.32, 861.42 and 184.32

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Solution

The fourth proportional to 574.32, 861.42 and 184.32 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.32 : 861.42 = 184.32 : x
  2. Step 2: Convert to fraction form
    574.32/861.42 = 184.32/x
  3. Step 3: Cross multiply
    574.32x = 861.42 × 184.32
  4. Step 4: Simplify right side
    574.32x = 158,776.93
  5. Step 5: Solve for x
    x = 158,776.93/574.32
  6. Step 6: Final answer
    x = 276.46

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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.