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Finding the Fourth Proportional to 507.94, 761.79 and 199.66

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Solution

The fourth proportional to 507.94, 761.79 and 199.66 is: 299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 761.79 = 199.66 : x
  2. Step 2: Convert to fraction form
    507.94/761.79 = 199.66/x
  3. Step 3: Cross multiply
    507.94x = 761.79 × 199.66
  4. Step 4: Simplify right side
    507.94x = 152,098.99
  5. Step 5: Solve for x
    x = 152,098.99/507.94
  6. Step 6: Final answer
    x = 299.44

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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.