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Finding the Fourth Proportional to 291.42, 436.41 and 275.94

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Solution

The fourth proportional to 291.42, 436.41 and 275.94 is: 413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 436.41 = 275.94 : x
  2. Step 2: Convert to fraction form
    291.42/436.41 = 275.94/x
  3. Step 3: Cross multiply
    291.42x = 436.41 × 275.94
  4. Step 4: Simplify right side
    291.42x = 120,422.98
  5. Step 5: Solve for x
    x = 120,422.98/291.42
  6. Step 6: Final answer
    x = 413.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.