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Finding the Fourth Proportional to 509, 763.25 and 216.46

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Solution

The fourth proportional to 509, 763.25 and 216.46 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.25 = 216.46 : x
  2. Step 2: Convert to fraction form
    509/763.25 = 216.46/x
  3. Step 3: Cross multiply
    509x = 763.25 × 216.46
  4. Step 4: Simplify right side
    509x = 165,213.10
  5. Step 5: Solve for x
    x = 165,213.10/509
  6. Step 6: Final answer
    x = 324.58

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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.