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Finding the Fourth Proportional to 429.96, 593.28 and 255.30

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Solution

The fourth proportional to 429.96, 593.28 and 255.30 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.96 : 593.28 = 255.30 : x
  2. Step 2: Convert to fraction form
    429.96/593.28 = 255.30/x
  3. Step 3: Cross multiply
    429.96x = 593.28 × 255.30
  4. Step 4: Simplify right side
    429.96x = 151,464.38
  5. Step 5: Solve for x
    x = 151,464.38/429.96
  6. Step 6: Final answer
    x = 352.28

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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.