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Finding the Fourth Proportional to 326.01, 488.33 and 298.00

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Solution

The fourth proportional to 326.01, 488.33 and 298.00 is: 446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.01 : 488.33 = 298.00 : x
  2. Step 2: Convert to fraction form
    326.01/488.33 = 298.00/x
  3. Step 3: Cross multiply
    326.01x = 488.33 × 298.00
  4. Step 4: Simplify right side
    326.01x = 145,523.70
  5. Step 5: Solve for x
    x = 145,523.70/326.01
  6. Step 6: Final answer
    x = 446.37

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Why These Related Problems?

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