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Finding the Fourth Proportional to 574.42, 861.62 and 265.94

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Solution

The fourth proportional to 574.42, 861.62 and 265.94 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 861.62 = 265.94 : x
  2. Step 2: Convert to fraction form
    574.42/861.62 = 265.94/x
  3. Step 3: Cross multiply
    574.42x = 861.62 × 265.94
  4. Step 4: Simplify right side
    574.42x = 229,139.22
  5. Step 5: Solve for x
    x = 229,139.22/574.42
  6. Step 6: Final answer
    x = 398.91

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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.