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Finding the Fourth Proportional to 314.43, 434.37 and 252.18

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Solution

The fourth proportional to 314.43, 434.37 and 252.18 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 434.37 = 252.18 : x
  2. Step 2: Convert to fraction form
    314.43/434.37 = 252.18/x
  3. Step 3: Cross multiply
    314.43x = 434.37 × 252.18
  4. Step 4: Simplify right side
    314.43x = 109,539.43
  5. Step 5: Solve for x
    x = 109,539.43/314.43
  6. Step 6: Final answer
    x = 348.37

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Why These Related Problems?

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