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Finding the Fourth Proportional to 509.27, 762.83 and 235.59

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Solution

The fourth proportional to 509.27, 762.83 and 235.59 is: 352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 762.83 = 235.59 : x
  2. Step 2: Convert to fraction form
    509.27/762.83 = 235.59/x
  3. Step 3: Cross multiply
    509.27x = 762.83 × 235.59
  4. Step 4: Simplify right side
    509.27x = 179,715.12
  5. Step 5: Solve for x
    x = 179,715.12/509.27
  6. Step 6: Final answer
    x = 352.89

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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.