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Finding the Fourth Proportional to 317.42, 437.54 and 255.14

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Solution

The fourth proportional to 317.42, 437.54 and 255.14 is: 351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.42 : 437.54 = 255.14 : x
  2. Step 2: Convert to fraction form
    317.42/437.54 = 255.14/x
  3. Step 3: Cross multiply
    317.42x = 437.54 × 255.14
  4. Step 4: Simplify right side
    317.42x = 111,633.96
  5. Step 5: Solve for x
    x = 111,633.96/317.42
  6. Step 6: Final answer
    x = 351.69

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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.