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Finding the Fourth Proportional to 429.76, 644.91 and 186.49

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Solution

The fourth proportional to 429.76, 644.91 and 186.49 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 644.91 = 186.49 : x
  2. Step 2: Convert to fraction form
    429.76/644.91 = 186.49/x
  3. Step 3: Cross multiply
    429.76x = 644.91 × 186.49
  4. Step 4: Simplify right side
    429.76x = 120,269.27
  5. Step 5: Solve for x
    x = 120,269.27/429.76
  6. Step 6: Final answer
    x = 279.85

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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.