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Finding the Fourth Proportional to 509.09, 763.89 and 234.87

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Solution

The fourth proportional to 509.09, 763.89 and 234.87 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 763.89 = 234.87 : x
  2. Step 2: Convert to fraction form
    509.09/763.89 = 234.87/x
  3. Step 3: Cross multiply
    509.09x = 763.89 × 234.87
  4. Step 4: Simplify right side
    509.09x = 179,411.10
  5. Step 5: Solve for x
    x = 179,411.10/509.09
  6. Step 6: Final answer
    x = 352.42

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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.