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Finding the Fourth Proportional to 994.73, 1,492.16 and 264.29

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Solution

The fourth proportional to 994.73, 1,492.16 and 264.29 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.73 : 1,492.16 = 264.29 : x
  2. Step 2: Convert to fraction form
    994.73/1,492.16 = 264.29/x
  3. Step 3: Cross multiply
    994.73x = 1,492.16 × 264.29
  4. Step 4: Simplify right side
    994.73x = 394,354.18
  5. Step 5: Solve for x
    x = 394,354.18/994.73
  6. Step 6: Final answer
    x = 396.45

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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.