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Finding the Fourth Proportional to 508.94, 762.96 and 200.63

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Solution

The fourth proportional to 508.94, 762.96 and 200.63 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.94 : 762.96 = 200.63 : x
  2. Step 2: Convert to fraction form
    508.94/762.96 = 200.63/x
  3. Step 3: Cross multiply
    508.94x = 762.96 × 200.63
  4. Step 4: Simplify right side
    508.94x = 153,072.66
  5. Step 5: Solve for x
    x = 153,072.66/508.94
  6. Step 6: Final answer
    x = 300.77

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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.