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Finding the Fourth Proportional to 508.01, 761.49 and 199.80

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Solution

The fourth proportional to 508.01, 761.49 and 199.80 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.01 : 761.49 = 199.80 : x
  2. Step 2: Convert to fraction form
    508.01/761.49 = 199.80/x
  3. Step 3: Cross multiply
    508.01x = 761.49 × 199.80
  4. Step 4: Simplify right side
    508.01x = 152,145.70
  5. Step 5: Solve for x
    x = 152,145.70/508.01
  6. Step 6: Final answer
    x = 299.50

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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.