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Finding the Fourth Proportional to 470.53, 649.34 and 295.75

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Solution

The fourth proportional to 470.53, 649.34 and 295.75 is: 408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.53 : 649.34 = 295.75 : x
  2. Step 2: Convert to fraction form
    470.53/649.34 = 295.75/x
  3. Step 3: Cross multiply
    470.53x = 649.34 × 295.75
  4. Step 4: Simplify right side
    470.53x = 192,042.31
  5. Step 5: Solve for x
    x = 192,042.31/470.53
  6. Step 6: Final answer
    x = 408.14

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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.