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Finding the Fourth Proportional to 508.45, 762.09 and 200.15

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Solution

The fourth proportional to 508.45, 762.09 and 200.15 is: 299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.45 : 762.09 = 200.15 : x
  2. Step 2: Convert to fraction form
    508.45/762.09 = 200.15/x
  3. Step 3: Cross multiply
    508.45x = 762.09 × 200.15
  4. Step 4: Simplify right side
    508.45x = 152,528.50
  5. Step 5: Solve for x
    x = 152,528.50/508.45
  6. Step 6: Final answer
    x = 299.99

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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.