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Finding the Fourth Proportional to 470.95, 649.19 and 371.18

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Solution

The fourth proportional to 470.95, 649.19 and 371.18 is: 511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.95 : 649.19 = 371.18 : x
  2. Step 2: Convert to fraction form
    470.95/649.19 = 371.18/x
  3. Step 3: Cross multiply
    470.95x = 649.19 × 371.18
  4. Step 4: Simplify right side
    470.95x = 240,961.24
  5. Step 5: Solve for x
    x = 240,961.24/470.95
  6. Step 6: Final answer
    x = 511.65

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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.