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Finding the Fourth Proportional to 477.73, 716.12 and 230.87

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Solution

The fourth proportional to 477.73, 716.12 and 230.87 is: 346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 716.12 = 230.87 : x
  2. Step 2: Convert to fraction form
    477.73/716.12 = 230.87/x
  3. Step 3: Cross multiply
    477.73x = 716.12 × 230.87
  4. Step 4: Simplify right side
    477.73x = 165,327.68
  5. Step 5: Solve for x
    x = 165,327.68/477.73
  6. Step 6: Final answer
    x = 346.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.