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Finding the Fourth Proportional to 471.32, 650.43 and 284.81

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Solution

The fourth proportional to 471.32, 650.43 and 284.81 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.32 : 650.43 = 284.81 : x
  2. Step 2: Convert to fraction form
    471.32/650.43 = 284.81/x
  3. Step 3: Cross multiply
    471.32x = 650.43 × 284.81
  4. Step 4: Simplify right side
    471.32x = 185,248.97
  5. Step 5: Solve for x
    x = 185,248.97/471.32
  6. Step 6: Final answer
    x = 393.04

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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.