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Finding the Fourth Proportional to 449.92, 621.60 and 345.44

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Solution

The fourth proportional to 449.92, 621.60 and 345.44 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.92 : 621.60 = 345.44 : x
  2. Step 2: Convert to fraction form
    449.92/621.60 = 345.44/x
  3. Step 3: Cross multiply
    449.92x = 621.60 × 345.44
  4. Step 4: Simplify right side
    449.92x = 214,725.50
  5. Step 5: Solve for x
    x = 214,725.50/449.92
  6. Step 6: Final answer
    x = 477.25

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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.