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Finding the Fourth Proportional to 883.51, 1,324.34 and 298.07

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Solution

The fourth proportional to 883.51, 1,324.34 and 298.07 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.51 : 1,324.34 = 298.07 : x
  2. Step 2: Convert to fraction form
    883.51/1,324.34 = 298.07/x
  3. Step 3: Cross multiply
    883.51x = 1,324.34 × 298.07
  4. Step 4: Simplify right side
    883.51x = 394,746.02
  5. Step 5: Solve for x
    x = 394,746.02/883.51
  6. Step 6: Final answer
    x = 446.79

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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.