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Finding the Fourth Proportional to 508.31, 762.46 and 123.56

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Solution

The fourth proportional to 508.31, 762.46 and 123.56 is: 185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 762.46 = 123.56 : x
  2. Step 2: Convert to fraction form
    508.31/762.46 = 123.56/x
  3. Step 3: Cross multiply
    508.31x = 762.46 × 123.56
  4. Step 4: Simplify right side
    508.31x = 94,205.13
  5. Step 5: Solve for x
    x = 94,205.13/508.31
  6. Step 6: Final answer
    x = 185.33

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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.