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Finding the Fourth Proportional to 508.10, 761.94 and 199.91

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Solution

The fourth proportional to 508.10, 761.94 and 199.91 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 761.94 = 199.91 : x
  2. Step 2: Convert to fraction form
    508.10/761.94 = 199.91/x
  3. Step 3: Cross multiply
    508.10x = 761.94 × 199.91
  4. Step 4: Simplify right side
    508.10x = 152,319.43
  5. Step 5: Solve for x
    x = 152,319.43/508.10
  6. Step 6: Final answer
    x = 299.78

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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.