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Finding the Fourth Proportional to 1,492.46, 2,238.80 and 396.80

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Solution

The fourth proportional to 1,492.46, 2,238.80 and 396.80 is: 595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.46 : 2,238.80 = 396.80 : x
  2. Step 2: Convert to fraction form
    1,492.46/2,238.80 = 396.80/x
  3. Step 3: Cross multiply
    1,492.46x = 2,238.80 × 396.80
  4. Step 4: Simplify right side
    1,492.46x = 888,342.66
  5. Step 5: Solve for x
    x = 888,342.66/1,492.46
  6. Step 6: Final answer
    x = 595.22

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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.