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Finding the Fourth Proportional to 508.82, 762.89 and 216

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Solution

The fourth proportional to 508.82, 762.89 and 216 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.82 : 762.89 = 216 : x
  2. Step 2: Convert to fraction form
    508.82/762.89 = 216/x
  3. Step 3: Cross multiply
    508.82x = 762.89 × 216
  4. Step 4: Simplify right side
    508.82x = 164,783.16
  5. Step 5: Solve for x
    x = 164,783.16/508.82
  6. Step 6: Final answer
    x = 323.86

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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.