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Finding the Fourth Proportional to 470.54, 649.38 and 284.02

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Solution

The fourth proportional to 470.54, 649.38 and 284.02 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 649.38 = 284.02 : x
  2. Step 2: Convert to fraction form
    470.54/649.38 = 284.02/x
  3. Step 3: Cross multiply
    470.54x = 649.38 × 284.02
  4. Step 4: Simplify right side
    470.54x = 184,436.91
  5. Step 5: Solve for x
    x = 184,436.91/470.54
  6. Step 6: Final answer
    x = 391.97

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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.