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Finding the Fourth Proportional to 450.75, 621.78 and 293.43

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Solution

The fourth proportional to 450.75, 621.78 and 293.43 is: 404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 621.78 = 293.43 : x
  2. Step 2: Convert to fraction form
    450.75/621.78 = 293.43/x
  3. Step 3: Cross multiply
    450.75x = 621.78 × 293.43
  4. Step 4: Simplify right side
    450.75x = 182,448.91
  5. Step 5: Solve for x
    x = 182,448.91/450.75
  6. Step 6: Final answer
    x = 404.77

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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.