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Finding the Fourth Proportional to 508.49, 762.56 and 179.34

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Solution

The fourth proportional to 508.49, 762.56 and 179.34 is: 268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.49 : 762.56 = 179.34 : x
  2. Step 2: Convert to fraction form
    508.49/762.56 = 179.34/x
  3. Step 3: Cross multiply
    508.49x = 762.56 × 179.34
  4. Step 4: Simplify right side
    508.49x = 136,757.51
  5. Step 5: Solve for x
    x = 136,757.51/508.49
  6. Step 6: Final answer
    x = 268.95

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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.