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Finding the Fourth Proportional to 449.69, 620.51 and 283.83

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Solution

The fourth proportional to 449.69, 620.51 and 283.83 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.69 : 620.51 = 283.83 : x
  2. Step 2: Convert to fraction form
    449.69/620.51 = 283.83/x
  3. Step 3: Cross multiply
    449.69x = 620.51 × 283.83
  4. Step 4: Simplify right side
    449.69x = 176,117.93
  5. Step 5: Solve for x
    x = 176,117.93/449.69
  6. Step 6: Final answer
    x = 391.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.