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Finding the Fourth Proportional to 429.77, 593.09 and 263.88

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Solution

The fourth proportional to 429.77, 593.09 and 263.88 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.77 : 593.09 = 263.88 : x
  2. Step 2: Convert to fraction form
    429.77/593.09 = 263.88/x
  3. Step 3: Cross multiply
    429.77x = 593.09 × 263.88
  4. Step 4: Simplify right side
    429.77x = 156,505.49
  5. Step 5: Solve for x
    x = 156,505.49/429.77
  6. Step 6: Final answer
    x = 364.17

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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.