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Finding the Fourth Proportional to 313.74, 471.45 and 232.32

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Solution

The fourth proportional to 313.74, 471.45 and 232.32 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 471.45 = 232.32 : x
  2. Step 2: Convert to fraction form
    313.74/471.45 = 232.32/x
  3. Step 3: Cross multiply
    313.74x = 471.45 × 232.32
  4. Step 4: Simplify right side
    313.74x = 109,527.26
  5. Step 5: Solve for x
    x = 109,527.26/313.74
  6. Step 6: Final answer
    x = 349.10

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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.