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Finding the Fourth Proportional to 702.24, 968.41 and 481.11

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Solution

The fourth proportional to 702.24, 968.41 and 481.11 is: 663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.24 : 968.41 = 481.11 : x
  2. Step 2: Convert to fraction form
    702.24/968.41 = 481.11/x
  3. Step 3: Cross multiply
    702.24x = 968.41 × 481.11
  4. Step 4: Simplify right side
    702.24x = 465,911.74
  5. Step 5: Solve for x
    x = 465,911.74/702.24
  6. Step 6: Final answer
    x = 663.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.