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Finding the Fourth Proportional to 298.35, 410.67 and 224.64

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Solution

The fourth proportional to 298.35, 410.67 and 224.64 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 410.67 = 224.64 : x
  2. Step 2: Convert to fraction form
    298.35/410.67 = 224.64/x
  3. Step 3: Cross multiply
    298.35x = 410.67 × 224.64
  4. Step 4: Simplify right side
    298.35x = 92,252.91
  5. Step 5: Solve for x
    x = 92,252.91/298.35
  6. Step 6: Final answer
    x = 309.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.