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Finding the Fourth Proportional to 429.63, 593.91 and 385.89

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Solution

The fourth proportional to 429.63, 593.91 and 385.89 is: 533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.63 : 593.91 = 385.89 : x
  2. Step 2: Convert to fraction form
    429.63/593.91 = 385.89/x
  3. Step 3: Cross multiply
    429.63x = 593.91 × 385.89
  4. Step 4: Simplify right side
    429.63x = 229,183.93
  5. Step 5: Solve for x
    x = 229,183.93/429.63
  6. Step 6: Final answer
    x = 533.44

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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.