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Finding the Fourth Proportional to 492.23, 738.84 and 406.46

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Solution

The fourth proportional to 492.23, 738.84 and 406.46 is: 610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.23 : 738.84 = 406.46 : x
  2. Step 2: Convert to fraction form
    492.23/738.84 = 406.46/x
  3. Step 3: Cross multiply
    492.23x = 738.84 × 406.46
  4. Step 4: Simplify right side
    492.23x = 300,308.91
  5. Step 5: Solve for x
    x = 300,308.91/492.23
  6. Step 6: Final answer
    x = 610.10

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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.