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Finding the Fourth Proportional to 317.44, 437.65 and 233.15

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Solution

The fourth proportional to 317.44, 437.65 and 233.15 is: 321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.44 : 437.65 = 233.15 : x
  2. Step 2: Convert to fraction form
    317.44/437.65 = 233.15/x
  3. Step 3: Cross multiply
    317.44x = 437.65 × 233.15
  4. Step 4: Simplify right side
    317.44x = 102,034.74
  5. Step 5: Solve for x
    x = 102,034.74/317.44
  6. Step 6: Final answer
    x = 321.44

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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.