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Finding the Fourth Proportional to 313.86, 471 and 232.90

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Solution

The fourth proportional to 313.86, 471 and 232.90 is: 349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.86 : 471 = 232.90 : x
  2. Step 2: Convert to fraction form
    313.86/471 = 232.90/x
  3. Step 3: Cross multiply
    313.86x = 471 × 232.90
  4. Step 4: Simplify right side
    313.86x = 109,695.90
  5. Step 5: Solve for x
    x = 109,695.90/313.86
  6. Step 6: Final answer
    x = 349.51

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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.