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Finding the Fourth Proportional to 275.70, 378.88 and 263.02

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Solution

The fourth proportional to 275.70, 378.88 and 263.02 is: 361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 378.88 = 263.02 : x
  2. Step 2: Convert to fraction form
    275.70/378.88 = 263.02/x
  3. Step 3: Cross multiply
    275.70x = 378.88 × 263.02
  4. Step 4: Simplify right side
    275.70x = 99,653.02
  5. Step 5: Solve for x
    x = 99,653.02/275.70
  6. Step 6: Final answer
    x = 361.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.