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Finding the Fourth Proportional to 429.16, 643.57 and 198.01

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Solution

The fourth proportional to 429.16, 643.57 and 198.01 is: 296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.16 : 643.57 = 198.01 : x
  2. Step 2: Convert to fraction form
    429.16/643.57 = 198.01/x
  3. Step 3: Cross multiply
    429.16x = 643.57 × 198.01
  4. Step 4: Simplify right side
    429.16x = 127,433.30
  5. Step 5: Solve for x
    x = 127,433.30/429.16
  6. Step 6: Final answer
    x = 296.94

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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.