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Finding the Fourth Proportional to 314.88, 471.78 and 233.88

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Solution

The fourth proportional to 314.88, 471.78 and 233.88 is: 350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 471.78 = 233.88 : x
  2. Step 2: Convert to fraction form
    314.88/471.78 = 233.88/x
  3. Step 3: Cross multiply
    314.88x = 471.78 × 233.88
  4. Step 4: Simplify right side
    314.88x = 110,339.91
  5. Step 5: Solve for x
    x = 110,339.91/314.88
  6. Step 6: Final answer
    x = 350.42

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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.