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Finding the Fourth Proportional to 313.74, 472.92 and 296.04

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Solution

The fourth proportional to 313.74, 472.92 and 296.04 is: 446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 472.92 = 296.04 : x
  2. Step 2: Convert to fraction form
    313.74/472.92 = 296.04/x
  3. Step 3: Cross multiply
    313.74x = 472.92 × 296.04
  4. Step 4: Simplify right side
    313.74x = 140,003.24
  5. Step 5: Solve for x
    x = 140,003.24/313.74
  6. Step 6: Final answer
    x = 446.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.