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Finding the Fourth Proportional to 431.79, 647.51 and 200.63

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Solution

The fourth proportional to 431.79, 647.51 and 200.63 is: 300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.79 : 647.51 = 200.63 : x
  2. Step 2: Convert to fraction form
    431.79/647.51 = 200.63/x
  3. Step 3: Cross multiply
    431.79x = 647.51 × 200.63
  4. Step 4: Simplify right side
    431.79x = 129,909.93
  5. Step 5: Solve for x
    x = 129,909.93/431.79
  6. Step 6: Final answer
    x = 300.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.