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Finding the Fourth Proportional to 861.34, 1,291.95 and 313.42

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Solution

The fourth proportional to 861.34, 1,291.95 and 313.42 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.34 : 1,291.95 = 313.42 : x
  2. Step 2: Convert to fraction form
    861.34/1,291.95 = 313.42/x
  3. Step 3: Cross multiply
    861.34x = 1,291.95 × 313.42
  4. Step 4: Simplify right side
    861.34x = 404,922.97
  5. Step 5: Solve for x
    x = 404,922.97/861.34
  6. Step 6: Final answer
    x = 470.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.