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Finding the Fourth Proportional to 429.47, 643.61 and 233.99

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Solution

The fourth proportional to 429.47, 643.61 and 233.99 is: 350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.47 : 643.61 = 233.99 : x
  2. Step 2: Convert to fraction form
    429.47/643.61 = 233.99/x
  3. Step 3: Cross multiply
    429.47x = 643.61 × 233.99
  4. Step 4: Simplify right side
    429.47x = 150,598.30
  5. Step 5: Solve for x
    x = 150,598.30/429.47
  6. Step 6: Final answer
    x = 350.66

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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.