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Finding the Fourth Proportional to 509.52, 763.93 and 262.87

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Solution

The fourth proportional to 509.52, 763.93 and 262.87 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 763.93 = 262.87 : x
  2. Step 2: Convert to fraction form
    509.52/763.93 = 262.87/x
  3. Step 3: Cross multiply
    509.52x = 763.93 × 262.87
  4. Step 4: Simplify right side
    509.52x = 200,814.28
  5. Step 5: Solve for x
    x = 200,814.28/509.52
  6. Step 6: Final answer
    x = 394.12

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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.