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Finding the Fourth Proportional to 450.39, 675.77 and 296.29

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Solution

The fourth proportional to 450.39, 675.77 and 296.29 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.39 : 675.77 = 296.29 : x
  2. Step 2: Convert to fraction form
    450.39/675.77 = 296.29/x
  3. Step 3: Cross multiply
    450.39x = 675.77 × 296.29
  4. Step 4: Simplify right side
    450.39x = 200,225.48
  5. Step 5: Solve for x
    x = 200,225.48/450.39
  6. Step 6: Final answer
    x = 444.56

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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.