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Finding the Fourth Proportional to 314.96, 471.48 and 229.52

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Solution

The fourth proportional to 314.96, 471.48 and 229.52 is: 343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.96 : 471.48 = 229.52 : x
  2. Step 2: Convert to fraction form
    314.96/471.48 = 229.52/x
  3. Step 3: Cross multiply
    314.96x = 471.48 × 229.52
  4. Step 4: Simplify right side
    314.96x = 108,214.09
  5. Step 5: Solve for x
    x = 108,214.09/314.96
  6. Step 6: Final answer
    x = 343.58

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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.