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Finding the Fourth Proportional to 449.47, 620.33 and 283.76

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Solution

The fourth proportional to 449.47, 620.33 and 283.76 is: 391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.47 : 620.33 = 283.76 : x
  2. Step 2: Convert to fraction form
    449.47/620.33 = 283.76/x
  3. Step 3: Cross multiply
    449.47x = 620.33 × 283.76
  4. Step 4: Simplify right side
    449.47x = 176,024.84
  5. Step 5: Solve for x
    x = 176,024.84/449.47
  6. Step 6: Final answer
    x = 391.63

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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.