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Finding the Fourth Proportional to 574.82, 861.50 and 286.34

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Solution

The fourth proportional to 574.82, 861.50 and 286.34 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.82 : 861.50 = 286.34 : x
  2. Step 2: Convert to fraction form
    574.82/861.50 = 286.34/x
  3. Step 3: Cross multiply
    574.82x = 861.50 × 286.34
  4. Step 4: Simplify right side
    574.82x = 246,678.32
  5. Step 5: Solve for x
    x = 246,678.32/574.82
  6. Step 6: Final answer
    x = 429.14

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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.