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Finding the Fourth Proportional to 449.32, 620.14 and 274.76

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Solution

The fourth proportional to 449.32, 620.14 and 274.76 is: 379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 620.14 = 274.76 : x
  2. Step 2: Convert to fraction form
    449.32/620.14 = 274.76/x
  3. Step 3: Cross multiply
    449.32x = 620.14 × 274.76
  4. Step 4: Simplify right side
    449.32x = 170,389.67
  5. Step 5: Solve for x
    x = 170,389.67/449.32
  6. Step 6: Final answer
    x = 379.22

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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.