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Finding the Fourth Proportional to 470.95, 649.79 and 296.17

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Solution

The fourth proportional to 470.95, 649.79 and 296.17 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.95 : 649.79 = 296.17 : x
  2. Step 2: Convert to fraction form
    470.95/649.79 = 296.17/x
  3. Step 3: Cross multiply
    470.95x = 649.79 × 296.17
  4. Step 4: Simplify right side
    470.95x = 192,448.30
  5. Step 5: Solve for x
    x = 192,448.30/470.95
  6. Step 6: Final answer
    x = 408.64

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Why These Related Problems?

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