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Finding the Fourth Proportional to 509.24, 765.10 and 327

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Solution

The fourth proportional to 509.24, 765.10 and 327 is: 491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.24 : 765.10 = 327 : x
  2. Step 2: Convert to fraction form
    509.24/765.10 = 327/x
  3. Step 3: Cross multiply
    509.24x = 765.10 × 327
  4. Step 4: Simplify right side
    509.24x = 250,187.70
  5. Step 5: Solve for x
    x = 250,187.70/509.24
  6. Step 6: Final answer
    x = 491.30

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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.