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Finding the Fourth Proportional to 471.24, 649.98 and 284.66

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Solution

The fourth proportional to 471.24, 649.98 and 284.66 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 649.98 = 284.66 : x
  2. Step 2: Convert to fraction form
    471.24/649.98 = 284.66/x
  3. Step 3: Cross multiply
    471.24x = 649.98 × 284.66
  4. Step 4: Simplify right side
    471.24x = 185,023.31
  5. Step 5: Solve for x
    x = 185,023.31/471.24
  6. Step 6: Final answer
    x = 392.63

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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.