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Finding the Fourth Proportional to 449.66, 620.62 and 284.09

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Solution

The fourth proportional to 449.66, 620.62 and 284.09 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 620.62 = 284.09 : x
  2. Step 2: Convert to fraction form
    449.66/620.62 = 284.09/x
  3. Step 3: Cross multiply
    449.66x = 620.62 × 284.09
  4. Step 4: Simplify right side
    449.66x = 176,308.83
  5. Step 5: Solve for x
    x = 176,308.83/449.66
  6. Step 6: Final answer
    x = 392.10

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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.