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Finding the Fourth Proportional to 317.07, 437.31 and 223.83

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Solution

The fourth proportional to 317.07, 437.31 and 223.83 is: 308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.07 : 437.31 = 223.83 : x
  2. Step 2: Convert to fraction form
    317.07/437.31 = 223.83/x
  3. Step 3: Cross multiply
    317.07x = 437.31 × 223.83
  4. Step 4: Simplify right side
    317.07x = 97,883.10
  5. Step 5: Solve for x
    x = 97,883.10/317.07
  6. Step 6: Final answer
    x = 308.71

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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.