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Finding the Fourth Proportional to 492.01, 738.18 and 419.44

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Solution

The fourth proportional to 492.01, 738.18 and 419.44 is: 629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.01 : 738.18 = 419.44 : x
  2. Step 2: Convert to fraction form
    492.01/738.18 = 419.44/x
  3. Step 3: Cross multiply
    492.01x = 738.18 × 419.44
  4. Step 4: Simplify right side
    492.01x = 309,616.43
  5. Step 5: Solve for x
    x = 309,616.43/492.01
  6. Step 6: Final answer
    x = 629.30

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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.