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Finding the Fourth Proportional to 313.96, 469.33 and 232.04

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Solution

The fourth proportional to 313.96, 469.33 and 232.04 is: 346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 469.33 = 232.04 : x
  2. Step 2: Convert to fraction form
    313.96/469.33 = 232.04/x
  3. Step 3: Cross multiply
    313.96x = 469.33 × 232.04
  4. Step 4: Simplify right side
    313.96x = 108,903.33
  5. Step 5: Solve for x
    x = 108,903.33/313.96
  6. Step 6: Final answer
    x = 346.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.