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Finding the Fourth Proportional to 1,492.28, 2,238.16 and 396.70

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Solution

The fourth proportional to 1,492.28, 2,238.16 and 396.70 is: 594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.28 : 2,238.16 = 396.70 : x
  2. Step 2: Convert to fraction form
    1,492.28/2,238.16 = 396.70/x
  3. Step 3: Cross multiply
    1,492.28x = 2,238.16 × 396.70
  4. Step 4: Simplify right side
    1,492.28x = 887,878.07
  5. Step 5: Solve for x
    x = 887,878.07/1,492.28
  6. Step 6: Final answer
    x = 594.98

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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.