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Finding the Fourth Proportional to 507.72, 761.78 and 199.52

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Solution

The fourth proportional to 507.72, 761.78 and 199.52 is: 299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 761.78 = 199.52 : x
  2. Step 2: Convert to fraction form
    507.72/761.78 = 199.52/x
  3. Step 3: Cross multiply
    507.72x = 761.78 × 199.52
  4. Step 4: Simplify right side
    507.72x = 151,990.35
  5. Step 5: Solve for x
    x = 151,990.35/507.72
  6. Step 6: Final answer
    x = 299.36

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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.