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Finding the Fourth Proportional to 429.22, 643.24 and 246.23

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Solution

The fourth proportional to 429.22, 643.24 and 246.23 is: 369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.22 : 643.24 = 246.23 : x
  2. Step 2: Convert to fraction form
    429.22/643.24 = 246.23/x
  3. Step 3: Cross multiply
    429.22x = 643.24 × 246.23
  4. Step 4: Simplify right side
    429.22x = 158,384.99
  5. Step 5: Solve for x
    x = 158,384.99/429.22
  6. Step 6: Final answer
    x = 369.01

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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.