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Finding the Fourth Proportional to 509.99, 764.39 and 235.49

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Solution

The fourth proportional to 509.99, 764.39 and 235.49 is: 352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.99 : 764.39 = 235.49 : x
  2. Step 2: Convert to fraction form
    509.99/764.39 = 235.49/x
  3. Step 3: Cross multiply
    509.99x = 764.39 × 235.49
  4. Step 4: Simplify right side
    509.99x = 180,001.20
  5. Step 5: Solve for x
    x = 180,001.20/509.99
  6. Step 6: Final answer
    x = 352.95

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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.