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Finding the Fourth Proportional to 882.68, 1,324.04 and 297.72

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Solution

The fourth proportional to 882.68, 1,324.04 and 297.72 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.68 : 1,324.04 = 297.72 : x
  2. Step 2: Convert to fraction form
    882.68/1,324.04 = 297.72/x
  3. Step 3: Cross multiply
    882.68x = 1,324.04 × 297.72
  4. Step 4: Simplify right side
    882.68x = 394,193.19
  5. Step 5: Solve for x
    x = 394,193.19/882.68
  6. Step 6: Final answer
    x = 446.59

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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.