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Finding the Fourth Proportional to 298.55, 448.05 and 217.91

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Solution

The fourth proportional to 298.55, 448.05 and 217.91 is: 327.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 448.05 = 217.91 : x
  2. Step 2: Convert to fraction form
    298.55/448.05 = 217.91/x
  3. Step 3: Cross multiply
    298.55x = 448.05 × 217.91
  4. Step 4: Simplify right side
    298.55x = 97,632.34
  5. Step 5: Solve for x
    x = 97,632.34/298.55
  6. Step 6: Final answer
    x = 327.03

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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.