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Finding the Fourth Proportional to 702.34, 968.73 and 481.30

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Solution

The fourth proportional to 702.34, 968.73 and 481.30 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 968.73 = 481.30 : x
  2. Step 2: Convert to fraction form
    702.34/968.73 = 481.30/x
  3. Step 3: Cross multiply
    702.34x = 968.73 × 481.30
  4. Step 4: Simplify right side
    702.34x = 466,249.75
  5. Step 5: Solve for x
    x = 466,249.75/702.34
  6. Step 6: Final answer
    x = 663.85

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