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Finding the Fourth Proportional to 335.99, 464.06 and 297.11

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Solution

The fourth proportional to 335.99, 464.06 and 297.11 is: 410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.99 : 464.06 = 297.11 : x
  2. Step 2: Convert to fraction form
    335.99/464.06 = 297.11/x
  3. Step 3: Cross multiply
    335.99x = 464.06 × 297.11
  4. Step 4: Simplify right side
    335.99x = 137,876.87
  5. Step 5: Solve for x
    x = 137,876.87/335.99
  6. Step 6: Final answer
    x = 410.36

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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.