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Finding the Fourth Proportional to 429.00, 643.10 and 233.71

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Solution

The fourth proportional to 429.00, 643.10 and 233.71 is: 350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.00 : 643.10 = 233.71 : x
  2. Step 2: Convert to fraction form
    429.00/643.10 = 233.71/x
  3. Step 3: Cross multiply
    429.00x = 643.10 × 233.71
  4. Step 4: Simplify right side
    429.00x = 150,296.12
  5. Step 5: Solve for x
    x = 150,296.12/429.00
  6. Step 6: Final answer
    x = 350.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.