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Finding the Fourth Proportional to 509.14, 764.10 and 201.07

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Solution

The fourth proportional to 509.14, 764.10 and 201.07 is: 301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 764.10 = 201.07 : x
  2. Step 2: Convert to fraction form
    509.14/764.10 = 201.07/x
  3. Step 3: Cross multiply
    509.14x = 764.10 × 201.07
  4. Step 4: Simplify right side
    509.14x = 153,637.59
  5. Step 5: Solve for x
    x = 153,637.59/509.14
  6. Step 6: Final answer
    x = 301.76

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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.