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Finding the Fourth Proportional to 406.27, 560.52 and 248.86

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Solution

The fourth proportional to 406.27, 560.52 and 248.86 is: 343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 560.52 = 248.86 : x
  2. Step 2: Convert to fraction form
    406.27/560.52 = 248.86/x
  3. Step 3: Cross multiply
    406.27x = 560.52 × 248.86
  4. Step 4: Simplify right side
    406.27x = 139,488.55
  5. Step 5: Solve for x
    x = 139,488.55/406.27
  6. Step 6: Final answer
    x = 343.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.