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Finding the Fourth Proportional to 471.08, 649.82 and 284.44

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Solution

The fourth proportional to 471.08, 649.82 and 284.44 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.08 : 649.82 = 284.44 : x
  2. Step 2: Convert to fraction form
    471.08/649.82 = 284.44/x
  3. Step 3: Cross multiply
    471.08x = 649.82 × 284.44
  4. Step 4: Simplify right side
    471.08x = 184,834.80
  5. Step 5: Solve for x
    x = 184,834.80/471.08
  6. Step 6: Final answer
    x = 392.36

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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.