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Finding the Fourth Proportional to 317.78, 438.37 and 240.02

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Solution

The fourth proportional to 317.78, 438.37 and 240.02 is: 331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 438.37 = 240.02 : x
  2. Step 2: Convert to fraction form
    317.78/438.37 = 240.02/x
  3. Step 3: Cross multiply
    317.78x = 438.37 × 240.02
  4. Step 4: Simplify right side
    317.78x = 105,217.57
  5. Step 5: Solve for x
    x = 105,217.57/317.78
  6. Step 6: Final answer
    x = 331.10

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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.