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Finding the Fourth Proportional to 509.91, 765.30 and 201.98

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Solution

The fourth proportional to 509.91, 765.30 and 201.98 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 765.30 = 201.98 : x
  2. Step 2: Convert to fraction form
    509.91/765.30 = 201.98/x
  3. Step 3: Cross multiply
    509.91x = 765.30 × 201.98
  4. Step 4: Simplify right side
    509.91x = 154,575.29
  5. Step 5: Solve for x
    x = 154,575.29/509.91
  6. Step 6: Final answer
    x = 303.14

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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.