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Finding the Fourth Proportional to 838.58, 1,257.96 and 290.67

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Solution

The fourth proportional to 838.58, 1,257.96 and 290.67 is: 436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,257.96 = 290.67 : x
  2. Step 2: Convert to fraction form
    838.58/1,257.96 = 290.67/x
  3. Step 3: Cross multiply
    838.58x = 1,257.96 × 290.67
  4. Step 4: Simplify right side
    838.58x = 365,651.23
  5. Step 5: Solve for x
    x = 365,651.23/838.58
  6. Step 6: Final answer
    x = 436.04

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Why These Related Problems?

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