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Finding the Fourth Proportional to 313.67, 470.10 and 232.40

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Solution

The fourth proportional to 313.67, 470.10 and 232.40 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.67 : 470.10 = 232.40 : x
  2. Step 2: Convert to fraction form
    313.67/470.10 = 232.40/x
  3. Step 3: Cross multiply
    313.67x = 470.10 × 232.40
  4. Step 4: Simplify right side
    313.67x = 109,251.24
  5. Step 5: Solve for x
    x = 109,251.24/313.67
  6. Step 6: Final answer
    x = 348.30

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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.