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Finding the Fourth Proportional to 508.86, 762.90 and 200.94

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Solution

The fourth proportional to 508.86, 762.90 and 200.94 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 762.90 = 200.94 : x
  2. Step 2: Convert to fraction form
    508.86/762.90 = 200.94/x
  3. Step 3: Cross multiply
    508.86x = 762.90 × 200.94
  4. Step 4: Simplify right side
    508.86x = 153,297.13
  5. Step 5: Solve for x
    x = 153,297.13/508.86
  6. Step 6: Final answer
    x = 301.26

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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.