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Finding the Fourth Proportional to 702.72, 969.84 and 408.16

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Solution

The fourth proportional to 702.72, 969.84 and 408.16 is: 563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.72 : 969.84 = 408.16 : x
  2. Step 2: Convert to fraction form
    702.72/969.84 = 408.16/x
  3. Step 3: Cross multiply
    702.72x = 969.84 × 408.16
  4. Step 4: Simplify right side
    702.72x = 395,849.89
  5. Step 5: Solve for x
    x = 395,849.89/702.72
  6. Step 6: Final answer
    x = 563.31

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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.