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Finding the Fourth Proportional to 470.92, 649.89 and 261.12

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Solution

The fourth proportional to 470.92, 649.89 and 261.12 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 649.89 = 261.12 : x
  2. Step 2: Convert to fraction form
    470.92/649.89 = 261.12/x
  3. Step 3: Cross multiply
    470.92x = 649.89 × 261.12
  4. Step 4: Simplify right side
    470.92x = 169,696.43
  5. Step 5: Solve for x
    x = 169,696.43/470.92
  6. Step 6: Final answer
    x = 360.35

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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.