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Finding the Fourth Proportional to 449.46, 620.05 and 292.14

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Solution

The fourth proportional to 449.46, 620.05 and 292.14 is: 403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 620.05 = 292.14 : x
  2. Step 2: Convert to fraction form
    449.46/620.05 = 292.14/x
  3. Step 3: Cross multiply
    449.46x = 620.05 × 292.14
  4. Step 4: Simplify right side
    449.46x = 181,141.41
  5. Step 5: Solve for x
    x = 181,141.41/449.46
  6. Step 6: Final answer
    x = 403.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.