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Finding the Fourth Proportional to 470.88, 649.89 and 284.38

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Solution

The fourth proportional to 470.88, 649.89 and 284.38 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.88 : 649.89 = 284.38 : x
  2. Step 2: Convert to fraction form
    470.88/649.89 = 284.38/x
  3. Step 3: Cross multiply
    470.88x = 649.89 × 284.38
  4. Step 4: Simplify right side
    470.88x = 184,814.09
  5. Step 5: Solve for x
    x = 184,814.09/470.88
  6. Step 6: Final answer
    x = 392.49

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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.