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Finding the Fourth Proportional to 507.65, 761.13 and 199.58

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Solution

The fourth proportional to 507.65, 761.13 and 199.58 is: 299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 761.13 = 199.58 : x
  2. Step 2: Convert to fraction form
    507.65/761.13 = 199.58/x
  3. Step 3: Cross multiply
    507.65x = 761.13 × 199.58
  4. Step 4: Simplify right side
    507.65x = 151,902.52
  5. Step 5: Solve for x
    x = 151,902.52/507.65
  6. Step 6: Final answer
    x = 299.23

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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.