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Finding the Fourth Proportional to 509.78, 764.69 and 201.60

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Solution

The fourth proportional to 509.78, 764.69 and 201.60 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.78 : 764.69 = 201.60 : x
  2. Step 2: Convert to fraction form
    509.78/764.69 = 201.60/x
  3. Step 3: Cross multiply
    509.78x = 764.69 × 201.60
  4. Step 4: Simplify right side
    509.78x = 154,160.50
  5. Step 5: Solve for x
    x = 154,160.50/509.78
  6. Step 6: Final answer
    x = 302.41

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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.