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Finding the Fourth Proportional to 838.95, 1,257.93 and 290.94

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Solution

The fourth proportional to 838.95, 1,257.93 and 290.94 is: 436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.95 : 1,257.93 = 290.94 : x
  2. Step 2: Convert to fraction form
    838.95/1,257.93 = 290.94/x
  3. Step 3: Cross multiply
    838.95x = 1,257.93 × 290.94
  4. Step 4: Simplify right side
    838.95x = 365,982.15
  5. Step 5: Solve for x
    x = 365,982.15/838.95
  6. Step 6: Final answer
    x = 436.24

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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.