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Finding the Fourth Proportional to 317.28, 438.06 and 205.52

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Solution

The fourth proportional to 317.28, 438.06 and 205.52 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.28 : 438.06 = 205.52 : x
  2. Step 2: Convert to fraction form
    317.28/438.06 = 205.52/x
  3. Step 3: Cross multiply
    317.28x = 438.06 × 205.52
  4. Step 4: Simplify right side
    317.28x = 90,027.13
  5. Step 5: Solve for x
    x = 90,027.13/317.28
  6. Step 6: Final answer
    x = 283.75

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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.