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Finding the Fourth Proportional to 449.82, 620.95 and 284.13

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Solution

The fourth proportional to 449.82, 620.95 and 284.13 is: 392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.82 : 620.95 = 284.13 : x
  2. Step 2: Convert to fraction form
    449.82/620.95 = 284.13/x
  3. Step 3: Cross multiply
    449.82x = 620.95 × 284.13
  4. Step 4: Simplify right side
    449.82x = 176,427.42
  5. Step 5: Solve for x
    x = 176,427.42/449.82
  6. Step 6: Final answer
    x = 392.22

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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.