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Finding the Fourth Proportional to 470.52, 649.24 and 283.98

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Solution

The fourth proportional to 470.52, 649.24 and 283.98 is: 391.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 649.24 = 283.98 : x
  2. Step 2: Convert to fraction form
    470.52/649.24 = 283.98/x
  3. Step 3: Cross multiply
    470.52x = 649.24 × 283.98
  4. Step 4: Simplify right side
    470.52x = 184,371.18
  5. Step 5: Solve for x
    x = 184,371.18/470.52
  6. Step 6: Final answer
    x = 391.85

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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.