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Finding the Fourth Proportional to 317.24, 438.41 and 238.82

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Solution

The fourth proportional to 317.24, 438.41 and 238.82 is: 330.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 438.41 = 238.82 : x
  2. Step 2: Convert to fraction form
    317.24/438.41 = 238.82/x
  3. Step 3: Cross multiply
    317.24x = 438.41 × 238.82
  4. Step 4: Simplify right side
    317.24x = 104,697.69
  5. Step 5: Solve for x
    x = 104,697.69/317.24
  6. Step 6: Final answer
    x = 330.03

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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.