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Finding the Fourth Proportional to 470.82, 649.78 and 284.32

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Solution

The fourth proportional to 470.82, 649.78 and 284.32 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.82 : 649.78 = 284.32 : x
  2. Step 2: Convert to fraction form
    470.82/649.78 = 284.32/x
  3. Step 3: Cross multiply
    470.82x = 649.78 × 284.32
  4. Step 4: Simplify right side
    470.82x = 184,745.55
  5. Step 5: Solve for x
    x = 184,745.55/470.82
  6. Step 6: Final answer
    x = 392.39

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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.