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Finding the Fourth Proportional to 861.19, 1,291.53 and 313.24

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Solution

The fourth proportional to 861.19, 1,291.53 and 313.24 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.19 : 1,291.53 = 313.24 : x
  2. Step 2: Convert to fraction form
    861.19/1,291.53 = 313.24/x
  3. Step 3: Cross multiply
    861.19x = 1,291.53 × 313.24
  4. Step 4: Simplify right side
    861.19x = 404,560.43
  5. Step 5: Solve for x
    x = 404,560.43/861.19
  6. Step 6: Final answer
    x = 469.77

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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.