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Finding the Fourth Proportional to 702.65, 969.66 and 408.09

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Solution

The fourth proportional to 702.65, 969.66 and 408.09 is: 563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.65 : 969.66 = 408.09 : x
  2. Step 2: Convert to fraction form
    702.65/969.66 = 408.09/x
  3. Step 3: Cross multiply
    702.65x = 969.66 × 408.09
  4. Step 4: Simplify right side
    702.65x = 395,708.55
  5. Step 5: Solve for x
    x = 395,708.55/702.65
  6. Step 6: Final answer
    x = 563.17

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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.