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Finding the Fourth Proportional to 471.52, 650.62 and 284.98

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Solution

The fourth proportional to 471.52, 650.62 and 284.98 is: 393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 650.62 = 284.98 : x
  2. Step 2: Convert to fraction form
    471.52/650.62 = 284.98/x
  3. Step 3: Cross multiply
    471.52x = 650.62 × 284.98
  4. Step 4: Simplify right side
    471.52x = 185,413.69
  5. Step 5: Solve for x
    x = 185,413.69/471.52
  6. Step 6: Final answer
    x = 393.23

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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.