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Finding the Fourth Proportional to 702.84, 969.92 and 408.16

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Solution

The fourth proportional to 702.84, 969.92 and 408.16 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 969.92 = 408.16 : x
  2. Step 2: Convert to fraction form
    702.84/969.92 = 408.16/x
  3. Step 3: Cross multiply
    702.84x = 969.92 × 408.16
  4. Step 4: Simplify right side
    702.84x = 395,880.51
  5. Step 5: Solve for x
    x = 395,880.51/702.84
  6. Step 6: Final answer
    x = 563.26

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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.