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Finding the Fourth Proportional to 477.92, 716.46 and 189.56

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Solution

The fourth proportional to 477.92, 716.46 and 189.56 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.92 : 716.46 = 189.56 : x
  2. Step 2: Convert to fraction form
    477.92/716.46 = 189.56/x
  3. Step 3: Cross multiply
    477.92x = 716.46 × 189.56
  4. Step 4: Simplify right side
    477.92x = 135,812.16
  5. Step 5: Solve for x
    x = 135,812.16/477.92
  6. Step 6: Final answer
    x = 284.17

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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.