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Finding the Fourth Proportional to 702.39, 969.30 and 399.54

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Solution

The fourth proportional to 702.39, 969.30 and 399.54 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.39 : 969.30 = 399.54 : x
  2. Step 2: Convert to fraction form
    702.39/969.30 = 399.54/x
  3. Step 3: Cross multiply
    702.39x = 969.30 × 399.54
  4. Step 4: Simplify right side
    702.39x = 387,274.12
  5. Step 5: Solve for x
    x = 387,274.12/702.39
  6. Step 6: Final answer
    x = 551.37

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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.