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Finding the Fourth Proportional to 429.84, 644.52 and 198.66

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Solution

The fourth proportional to 429.84, 644.52 and 198.66 is: 297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 644.52 = 198.66 : x
  2. Step 2: Convert to fraction form
    429.84/644.52 = 198.66/x
  3. Step 3: Cross multiply
    429.84x = 644.52 × 198.66
  4. Step 4: Simplify right side
    429.84x = 128,040.34
  5. Step 5: Solve for x
    x = 128,040.34/429.84
  6. Step 6: Final answer
    x = 297.88

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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.