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Finding the Fourth Proportional to 882.64, 1,324.03 and 297.64

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Solution

The fourth proportional to 882.64, 1,324.03 and 297.64 is: 446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.64 : 1,324.03 = 297.64 : x
  2. Step 2: Convert to fraction form
    882.64/1,324.03 = 297.64/x
  3. Step 3: Cross multiply
    882.64x = 1,324.03 × 297.64
  4. Step 4: Simplify right side
    882.64x = 394,080.24
  5. Step 5: Solve for x
    x = 394,080.24/882.64
  6. Step 6: Final answer
    x = 446.48

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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.