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Finding the Fourth Proportional to 283.02, 389.76 and 247.92

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Solution

The fourth proportional to 283.02, 389.76 and 247.92 is: 341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.02 : 389.76 = 247.92 : x
  2. Step 2: Convert to fraction form
    283.02/389.76 = 247.92/x
  3. Step 3: Cross multiply
    283.02x = 389.76 × 247.92
  4. Step 4: Simplify right side
    283.02x = 96,629.30
  5. Step 5: Solve for x
    x = 96,629.30/283.02
  6. Step 6: Final answer
    x = 341.42

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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.