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Finding the Fourth Proportional to 377.98, 521.93 and 253.82

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Solution

The fourth proportional to 377.98, 521.93 and 253.82 is: 350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.98 : 521.93 = 253.82 : x
  2. Step 2: Convert to fraction form
    377.98/521.93 = 253.82/x
  3. Step 3: Cross multiply
    377.98x = 521.93 × 253.82
  4. Step 4: Simplify right side
    377.98x = 132,476.27
  5. Step 5: Solve for x
    x = 132,476.27/377.98
  6. Step 6: Final answer
    x = 350.48

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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.