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Finding the Fourth Proportional to 429.73, 644.23 and 210.23

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Solution

The fourth proportional to 429.73, 644.23 and 210.23 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.73 : 644.23 = 210.23 : x
  2. Step 2: Convert to fraction form
    429.73/644.23 = 210.23/x
  3. Step 3: Cross multiply
    429.73x = 644.23 × 210.23
  4. Step 4: Simplify right side
    429.73x = 135,436.47
  5. Step 5: Solve for x
    x = 135,436.47/429.73
  6. Step 6: Final answer
    x = 315.17

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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.