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Finding the Fourth Proportional to 449.13, 620.07 and 294.15

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Solution

The fourth proportional to 449.13, 620.07 and 294.15 is: 406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.13 : 620.07 = 294.15 : x
  2. Step 2: Convert to fraction form
    449.13/620.07 = 294.15/x
  3. Step 3: Cross multiply
    449.13x = 620.07 × 294.15
  4. Step 4: Simplify right side
    449.13x = 182,389.02
  5. Step 5: Solve for x
    x = 182,389.02/449.13
  6. Step 6: Final answer
    x = 406.10

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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.