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Finding the Fourth Proportional to 508.64, 762.43 and 200.36

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Solution

The fourth proportional to 508.64, 762.43 and 200.36 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 762.43 = 200.36 : x
  2. Step 2: Convert to fraction form
    508.64/762.43 = 200.36/x
  3. Step 3: Cross multiply
    508.64x = 762.43 × 200.36
  4. Step 4: Simplify right side
    508.64x = 152,761.88
  5. Step 5: Solve for x
    x = 152,761.88/508.64
  6. Step 6: Final answer
    x = 300.34

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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.