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Finding the Fourth Proportional to 883.49, 1,325.31 and 298.46

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Solution

The fourth proportional to 883.49, 1,325.31 and 298.46 is: 447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.49 : 1,325.31 = 298.46 : x
  2. Step 2: Convert to fraction form
    883.49/1,325.31 = 298.46/x
  3. Step 3: Cross multiply
    883.49x = 1,325.31 × 298.46
  4. Step 4: Simplify right side
    883.49x = 395,552.02
  5. Step 5: Solve for x
    x = 395,552.02/883.49
  6. Step 6: Final answer
    x = 447.72

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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.