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Finding the Fourth Proportional to 968.74, 1,453.06 and 238.27

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Solution

The fourth proportional to 968.74, 1,453.06 and 238.27 is: 357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.74 : 1,453.06 = 238.27 : x
  2. Step 2: Convert to fraction form
    968.74/1,453.06 = 238.27/x
  3. Step 3: Cross multiply
    968.74x = 1,453.06 × 238.27
  4. Step 4: Simplify right side
    968.74x = 346,220.61
  5. Step 5: Solve for x
    x = 346,220.61/968.74
  6. Step 6: Final answer
    x = 357.39

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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.