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Finding the Fourth Proportional to 471.64, 648.66 and 413.32

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Solution

The fourth proportional to 471.64, 648.66 and 413.32 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 648.66 = 413.32 : x
  2. Step 2: Convert to fraction form
    471.64/648.66 = 413.32/x
  3. Step 3: Cross multiply
    471.64x = 648.66 × 413.32
  4. Step 4: Simplify right side
    471.64x = 268,104.15
  5. Step 5: Solve for x
    x = 268,104.15/471.64
  6. Step 6: Final answer
    x = 568.45

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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.