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Finding the Fourth Proportional to 449.33, 672.77 and 286.52

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Solution

The fourth proportional to 449.33, 672.77 and 286.52 is: 429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.33 : 672.77 = 286.52 : x
  2. Step 2: Convert to fraction form
    449.33/672.77 = 286.52/x
  3. Step 3: Cross multiply
    449.33x = 672.77 × 286.52
  4. Step 4: Simplify right side
    449.33x = 192,759.41
  5. Step 5: Solve for x
    x = 192,759.41/449.33
  6. Step 6: Final answer
    x = 429.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.