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Finding the Fourth Proportional to 429.68, 593.42 and 297.09

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Solution

The fourth proportional to 429.68, 593.42 and 297.09 is: 410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 593.42 = 297.09 : x
  2. Step 2: Convert to fraction form
    429.68/593.42 = 297.09/x
  3. Step 3: Cross multiply
    429.68x = 593.42 × 297.09
  4. Step 4: Simplify right side
    429.68x = 176,297.66
  5. Step 5: Solve for x
    x = 176,297.66/429.68
  6. Step 6: Final answer
    x = 410.30

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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.