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Finding the Fourth Proportional to 471.23, 650.56 and 284.77

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Solution

The fourth proportional to 471.23, 650.56 and 284.77 is: 393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.23 : 650.56 = 284.77 : x
  2. Step 2: Convert to fraction form
    471.23/650.56 = 284.77/x
  3. Step 3: Cross multiply
    471.23x = 650.56 × 284.77
  4. Step 4: Simplify right side
    471.23x = 185,257.63
  5. Step 5: Solve for x
    x = 185,257.63/471.23
  6. Step 6: Final answer
    x = 393.13

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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.