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Finding the Fourth Proportional to 838, 1,256.98 and 290.56

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Solution

The fourth proportional to 838, 1,256.98 and 290.56 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838 : 1,256.98 = 290.56 : x
  2. Step 2: Convert to fraction form
    838/1,256.98 = 290.56/x
  3. Step 3: Cross multiply
    838x = 1,256.98 × 290.56
  4. Step 4: Simplify right side
    838x = 365,228.11
  5. Step 5: Solve for x
    x = 365,228.11/838
  6. Step 6: Final answer
    x = 435.83

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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.