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Finding the Fourth Proportional to 509.27, 763.91 and 144.06

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Solution

The fourth proportional to 509.27, 763.91 and 144.06 is: 216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.27 : 763.91 = 144.06 : x
  2. Step 2: Convert to fraction form
    509.27/763.91 = 144.06/x
  3. Step 3: Cross multiply
    509.27x = 763.91 × 144.06
  4. Step 4: Simplify right side
    509.27x = 110,048.87
  5. Step 5: Solve for x
    x = 110,048.87/509.27
  6. Step 6: Final answer
    x = 216.09

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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.