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Finding the Fourth Proportional to 406.33, 560.66 and 248.68

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Solution

The fourth proportional to 406.33, 560.66 and 248.68 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.33 : 560.66 = 248.68 : x
  2. Step 2: Convert to fraction form
    406.33/560.66 = 248.68/x
  3. Step 3: Cross multiply
    406.33x = 560.66 × 248.68
  4. Step 4: Simplify right side
    406.33x = 139,424.39
  5. Step 5: Solve for x
    x = 139,424.39/406.33
  6. Step 6: Final answer
    x = 343.13

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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.