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Finding the Fourth Proportional to 312.36, 431.24 and 277.76

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Solution

The fourth proportional to 312.36, 431.24 and 277.76 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 431.24 = 277.76 : x
  2. Step 2: Convert to fraction form
    312.36/431.24 = 277.76/x
  3. Step 3: Cross multiply
    312.36x = 431.24 × 277.76
  4. Step 4: Simplify right side
    312.36x = 119,781.22
  5. Step 5: Solve for x
    x = 119,781.22/312.36
  6. Step 6: Final answer
    x = 383.47

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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.