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Finding the Fourth Proportional to 509.52, 765.49 and 327.27

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Solution

The fourth proportional to 509.52, 765.49 and 327.27 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 765.49 = 327.27 : x
  2. Step 2: Convert to fraction form
    509.52/765.49 = 327.27/x
  3. Step 3: Cross multiply
    509.52x = 765.49 × 327.27
  4. Step 4: Simplify right side
    509.52x = 250,521.91
  5. Step 5: Solve for x
    x = 250,521.91/509.52
  6. Step 6: Final answer
    x = 491.68

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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.