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Finding the Fourth Proportional to 317.75, 437.18 and 280.25

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Solution

The fourth proportional to 317.75, 437.18 and 280.25 is: 385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 437.18 = 280.25 : x
  2. Step 2: Convert to fraction form
    317.75/437.18 = 280.25/x
  3. Step 3: Cross multiply
    317.75x = 437.18 × 280.25
  4. Step 4: Simplify right side
    317.75x = 122,516.11
  5. Step 5: Solve for x
    x = 122,516.11/317.75
  6. Step 6: Final answer
    x = 385.58

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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.