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Finding the Fourth Proportional to 702.78, 970.32 and 481.68

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Solution

The fourth proportional to 702.78, 970.32 and 481.68 is: 665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 970.32 = 481.68 : x
  2. Step 2: Convert to fraction form
    702.78/970.32 = 481.68/x
  3. Step 3: Cross multiply
    702.78x = 970.32 × 481.68
  4. Step 4: Simplify right side
    702.78x = 467,383.74
  5. Step 5: Solve for x
    x = 467,383.74/702.78
  6. Step 6: Final answer
    x = 665.05

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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.