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Finding the Fourth Proportional to 450.33, 621.25 and 298.94

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Solution

The fourth proportional to 450.33, 621.25 and 298.94 is: 412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.33 : 621.25 = 298.94 : x
  2. Step 2: Convert to fraction form
    450.33/621.25 = 298.94/x
  3. Step 3: Cross multiply
    450.33x = 621.25 × 298.94
  4. Step 4: Simplify right side
    450.33x = 185,717.80
  5. Step 5: Solve for x
    x = 185,717.80/450.33
  6. Step 6: Final answer
    x = 412.41

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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.