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Finding the Fourth Proportional to 275.94, 411.55 and 240.91

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Solution

The fourth proportional to 275.94, 411.55 and 240.91 is: 359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 411.55 = 240.91 : x
  2. Step 2: Convert to fraction form
    275.94/411.55 = 240.91/x
  3. Step 3: Cross multiply
    275.94x = 411.55 × 240.91
  4. Step 4: Simplify right side
    275.94x = 99,144.88
  5. Step 5: Solve for x
    x = 99,144.88/275.94
  6. Step 6: Final answer
    x = 359.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.