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Finding the Fourth Proportional to 507.66, 761.59 and 199.54

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Solution

The fourth proportional to 507.66, 761.59 and 199.54 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.66 : 761.59 = 199.54 : x
  2. Step 2: Convert to fraction form
    507.66/761.59 = 199.54/x
  3. Step 3: Cross multiply
    507.66x = 761.59 × 199.54
  4. Step 4: Simplify right side
    507.66x = 151,963.86
  5. Step 5: Solve for x
    x = 151,963.86/507.66
  6. Step 6: Final answer
    x = 299.34

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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.