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Finding the Fourth Proportional to 702.36, 969.26 and 387.64

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Solution

The fourth proportional to 702.36, 969.26 and 387.64 is: 534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.36 : 969.26 = 387.64 : x
  2. Step 2: Convert to fraction form
    702.36/969.26 = 387.64/x
  3. Step 3: Cross multiply
    702.36x = 969.26 × 387.64
  4. Step 4: Simplify right side
    702.36x = 375,723.95
  5. Step 5: Solve for x
    x = 375,723.95/702.36
  6. Step 6: Final answer
    x = 534.94

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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.