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Finding the Fourth Proportional to 507.90, 761.98 and 199.84

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Solution

The fourth proportional to 507.90, 761.98 and 199.84 is: 299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 761.98 = 199.84 : x
  2. Step 2: Convert to fraction form
    507.90/761.98 = 199.84/x
  3. Step 3: Cross multiply
    507.90x = 761.98 × 199.84
  4. Step 4: Simplify right side
    507.90x = 152,274.08
  5. Step 5: Solve for x
    x = 152,274.08/507.90
  6. Step 6: Final answer
    x = 299.81

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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.