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Finding the Fourth Proportional to 332.56, 498.22 and 298.75

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Solution

The fourth proportional to 332.56, 498.22 and 298.75 is: 447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.56 : 498.22 = 298.75 : x
  2. Step 2: Convert to fraction form
    332.56/498.22 = 298.75/x
  3. Step 3: Cross multiply
    332.56x = 498.22 × 298.75
  4. Step 4: Simplify right side
    332.56x = 148,843.23
  5. Step 5: Solve for x
    x = 148,843.23/332.56
  6. Step 6: Final answer
    x = 447.57

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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.