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Finding the Fourth Proportional to 405.91, 560.37 and 248.77

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Solution

The fourth proportional to 405.91, 560.37 and 248.77 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.91 : 560.37 = 248.77 : x
  2. Step 2: Convert to fraction form
    405.91/560.37 = 248.77/x
  3. Step 3: Cross multiply
    405.91x = 560.37 × 248.77
  4. Step 4: Simplify right side
    405.91x = 139,403.48
  5. Step 5: Solve for x
    x = 139,403.48/405.91
  6. Step 6: Final answer
    x = 343.43

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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.