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Finding the Fourth Proportional to 429.20, 593.16 and 319.04

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Solution

The fourth proportional to 429.20, 593.16 and 319.04 is: 440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 593.16 = 319.04 : x
  2. Step 2: Convert to fraction form
    429.20/593.16 = 319.04/x
  3. Step 3: Cross multiply
    429.20x = 593.16 × 319.04
  4. Step 4: Simplify right side
    429.20x = 189,241.77
  5. Step 5: Solve for x
    x = 189,241.77/429.20
  6. Step 6: Final answer
    x = 440.92

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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.