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Finding the Fourth Proportional to 508.78, 763.40 and 234.84

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Solution

The fourth proportional to 508.78, 763.40 and 234.84 is: 352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 763.40 = 234.84 : x
  2. Step 2: Convert to fraction form
    508.78/763.40 = 234.84/x
  3. Step 3: Cross multiply
    508.78x = 763.40 × 234.84
  4. Step 4: Simplify right side
    508.78x = 179,277.44
  5. Step 5: Solve for x
    x = 179,277.44/508.78
  6. Step 6: Final answer
    x = 352.37

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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.