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Finding the Fourth Proportional to 456.92, 630.36 and 279.80

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Solution

The fourth proportional to 456.92, 630.36 and 279.80 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 630.36 = 279.80 : x
  2. Step 2: Convert to fraction form
    456.92/630.36 = 279.80/x
  3. Step 3: Cross multiply
    456.92x = 630.36 × 279.80
  4. Step 4: Simplify right side
    456.92x = 176,374.73
  5. Step 5: Solve for x
    x = 176,374.73/456.92
  6. Step 6: Final answer
    x = 386.01

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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.