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Finding the Fourth Proportional to 317.23, 437.84 and 234.58

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Solution

The fourth proportional to 317.23, 437.84 and 234.58 is: 323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.23 : 437.84 = 234.58 : x
  2. Step 2: Convert to fraction form
    317.23/437.84 = 234.58/x
  3. Step 3: Cross multiply
    317.23x = 437.84 × 234.58
  4. Step 4: Simplify right side
    317.23x = 102,707.33
  5. Step 5: Solve for x
    x = 102,707.33/317.23
  6. Step 6: Final answer
    x = 323.76

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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.