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Finding the Fourth Proportional to 431.77, 647.15 and 200.34

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Solution

The fourth proportional to 431.77, 647.15 and 200.34 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 647.15 = 200.34 : x
  2. Step 2: Convert to fraction form
    431.77/647.15 = 200.34/x
  3. Step 3: Cross multiply
    431.77x = 647.15 × 200.34
  4. Step 4: Simplify right side
    431.77x = 129,650.03
  5. Step 5: Solve for x
    x = 129,650.03/431.77
  6. Step 6: Final answer
    x = 300.28

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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.