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Finding the Fourth Proportional to 507.78, 761.42 and 199.77

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Solution

The fourth proportional to 507.78, 761.42 and 199.77 is: 299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 761.42 = 199.77 : x
  2. Step 2: Convert to fraction form
    507.78/761.42 = 199.77/x
  3. Step 3: Cross multiply
    507.78x = 761.42 × 199.77
  4. Step 4: Simplify right side
    507.78x = 152,107.87
  5. Step 5: Solve for x
    x = 152,107.87/507.78
  6. Step 6: Final answer
    x = 299.55

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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.