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Finding the Fourth Proportional to 295.29, 406.57 and 240.21

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Solution

The fourth proportional to 295.29, 406.57 and 240.21 is: 330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.29 : 406.57 = 240.21 : x
  2. Step 2: Convert to fraction form
    295.29/406.57 = 240.21/x
  3. Step 3: Cross multiply
    295.29x = 406.57 × 240.21
  4. Step 4: Simplify right side
    295.29x = 97,660.98
  5. Step 5: Solve for x
    x = 97,660.98/295.29
  6. Step 6: Final answer
    x = 330.73

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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.