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Finding the Fourth Proportional to 431.42, 646.86 and 200.03

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Solution

The fourth proportional to 431.42, 646.86 and 200.03 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 646.86 = 200.03 : x
  2. Step 2: Convert to fraction form
    431.42/646.86 = 200.03/x
  3. Step 3: Cross multiply
    431.42x = 646.86 × 200.03
  4. Step 4: Simplify right side
    431.42x = 129,391.41
  5. Step 5: Solve for x
    x = 129,391.41/431.42
  6. Step 6: Final answer
    x = 299.92

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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.