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Finding the Fourth Proportional to 342.24, 471.52 and 314.68

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Solution

The fourth proportional to 342.24, 471.52 and 314.68 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 471.52 = 314.68 : x
  2. Step 2: Convert to fraction form
    342.24/471.52 = 314.68/x
  3. Step 3: Cross multiply
    342.24x = 471.52 × 314.68
  4. Step 4: Simplify right side
    342.24x = 148,377.91
  5. Step 5: Solve for x
    x = 148,377.91/342.24
  6. Step 6: Final answer
    x = 433.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.