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Finding the Fourth Proportional to 297.21, 409.76 and 229.98

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Solution

The fourth proportional to 297.21, 409.76 and 229.98 is: 317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.21 : 409.76 = 229.98 : x
  2. Step 2: Convert to fraction form
    297.21/409.76 = 229.98/x
  3. Step 3: Cross multiply
    297.21x = 409.76 × 229.98
  4. Step 4: Simplify right side
    297.21x = 94,234.56
  5. Step 5: Solve for x
    x = 94,234.56/297.21
  6. Step 6: Final answer
    x = 317.07

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Why These Related Problems?

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