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Finding the Fourth Proportional to 507.72, 761.09 and 199.76

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Solution

The fourth proportional to 507.72, 761.09 and 199.76 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.72 : 761.09 = 199.76 : x
  2. Step 2: Convert to fraction form
    507.72/761.09 = 199.76/x
  3. Step 3: Cross multiply
    507.72x = 761.09 × 199.76
  4. Step 4: Simplify right side
    507.72x = 152,035.34
  5. Step 5: Solve for x
    x = 152,035.34/507.72
  6. Step 6: Final answer
    x = 299.45

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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.