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Finding the Fourth Proportional to 465.73, 642.61 and 279.20

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Solution

The fourth proportional to 465.73, 642.61 and 279.20 is: 385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.73 : 642.61 = 279.20 : x
  2. Step 2: Convert to fraction form
    465.73/642.61 = 279.20/x
  3. Step 3: Cross multiply
    465.73x = 642.61 × 279.20
  4. Step 4: Simplify right side
    465.73x = 179,412.10
  5. Step 5: Solve for x
    x = 179,412.10/465.73
  6. Step 6: Final answer
    x = 385.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.