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Finding the Fourth Proportional to 429.83, 644.51 and 198.90

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Solution

The fourth proportional to 429.83, 644.51 and 198.90 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.83 : 644.51 = 198.90 : x
  2. Step 2: Convert to fraction form
    429.83/644.51 = 198.90/x
  3. Step 3: Cross multiply
    429.83x = 644.51 × 198.90
  4. Step 4: Simplify right side
    429.83x = 128,193.04
  5. Step 5: Solve for x
    x = 128,193.04/429.83
  6. Step 6: Final answer
    x = 298.24

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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.