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Finding the Fourth Proportional to 429.44, 593.11 and 290.13

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Solution

The fourth proportional to 429.44, 593.11 and 290.13 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.44 : 593.11 = 290.13 : x
  2. Step 2: Convert to fraction form
    429.44/593.11 = 290.13/x
  3. Step 3: Cross multiply
    429.44x = 593.11 × 290.13
  4. Step 4: Simplify right side
    429.44x = 172,080.07
  5. Step 5: Solve for x
    x = 172,080.07/429.44
  6. Step 6: Final answer
    x = 400.71

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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.