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Finding the Fourth Proportional to 702.94, 970.19 and 408.34

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Solution

The fourth proportional to 702.94, 970.19 and 408.34 is: 563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.94 : 970.19 = 408.34 : x
  2. Step 2: Convert to fraction form
    702.94/970.19 = 408.34/x
  3. Step 3: Cross multiply
    702.94x = 970.19 × 408.34
  4. Step 4: Simplify right side
    702.94x = 396,167.38
  5. Step 5: Solve for x
    x = 396,167.38/702.94
  6. Step 6: Final answer
    x = 563.59

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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.