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Finding the Fourth Proportional to 470.57, 649.16 and 295.88

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Solution

The fourth proportional to 470.57, 649.16 and 295.88 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.16 = 295.88 : x
  2. Step 2: Convert to fraction form
    470.57/649.16 = 295.88/x
  3. Step 3: Cross multiply
    470.57x = 649.16 × 295.88
  4. Step 4: Simplify right side
    470.57x = 192,073.46
  5. Step 5: Solve for x
    x = 192,073.46/470.57
  6. Step 6: Final answer
    x = 408.17

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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.