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Finding the Fourth Proportional to 883.17, 1,324.76 and 298.22

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Solution

The fourth proportional to 883.17, 1,324.76 and 298.22 is: 447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.17 : 1,324.76 = 298.22 : x
  2. Step 2: Convert to fraction form
    883.17/1,324.76 = 298.22/x
  3. Step 3: Cross multiply
    883.17x = 1,324.76 × 298.22
  4. Step 4: Simplify right side
    883.17x = 395,061.81
  5. Step 5: Solve for x
    x = 395,061.81/883.17
  6. Step 6: Final answer
    x = 447.32

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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.