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Finding the Fourth Proportional to 429.78, 593.64 and 290.16

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Solution

The fourth proportional to 429.78, 593.64 and 290.16 is: 400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.78 : 593.64 = 290.16 : x
  2. Step 2: Convert to fraction form
    429.78/593.64 = 290.16/x
  3. Step 3: Cross multiply
    429.78x = 593.64 × 290.16
  4. Step 4: Simplify right side
    429.78x = 172,250.58
  5. Step 5: Solve for x
    x = 172,250.58/429.78
  6. Step 6: Final answer
    x = 400.79

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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.