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Finding the Fourth Proportional to 298.35, 446.58 and 217.08

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Solution

The fourth proportional to 298.35, 446.58 and 217.08 is: 324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 446.58 = 217.08 : x
  2. Step 2: Convert to fraction form
    298.35/446.58 = 217.08/x
  3. Step 3: Cross multiply
    298.35x = 446.58 × 217.08
  4. Step 4: Simplify right side
    298.35x = 96,943.59
  5. Step 5: Solve for x
    x = 96,943.59/298.35
  6. Step 6: Final answer
    x = 324.93

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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.