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Finding the Fourth Proportional to 317.39, 437.60 and 234.56

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Solution

The fourth proportional to 317.39, 437.60 and 234.56 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.39 : 437.60 = 234.56 : x
  2. Step 2: Convert to fraction form
    317.39/437.60 = 234.56/x
  3. Step 3: Cross multiply
    317.39x = 437.60 × 234.56
  4. Step 4: Simplify right side
    317.39x = 102,645.14
  5. Step 5: Solve for x
    x = 102,645.14/317.39
  6. Step 6: Final answer
    x = 323.41

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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.