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Finding the Fourth Proportional to 838.46, 1,257.77 and 290.68

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Solution

The fourth proportional to 838.46, 1,257.77 and 290.68 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,257.77 = 290.68 : x
  2. Step 2: Convert to fraction form
    838.46/1,257.77 = 290.68/x
  3. Step 3: Cross multiply
    838.46x = 1,257.77 × 290.68
  4. Step 4: Simplify right side
    838.46x = 365,608.58
  5. Step 5: Solve for x
    x = 365,608.58/838.46
  6. Step 6: Final answer
    x = 436.05

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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.