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Finding the Fourth Proportional to 313.82, 432.92 and 278.76

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Solution

The fourth proportional to 313.82, 432.92 and 278.76 is: 384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.82 : 432.92 = 278.76 : x
  2. Step 2: Convert to fraction form
    313.82/432.92 = 278.76/x
  3. Step 3: Cross multiply
    313.82x = 432.92 × 278.76
  4. Step 4: Simplify right side
    313.82x = 120,680.78
  5. Step 5: Solve for x
    x = 120,680.78/313.82
  6. Step 6: Final answer
    x = 384.55

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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.