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Finding the Fourth Proportional to 702.28, 969.15 and 407.57

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Solution

The fourth proportional to 702.28, 969.15 and 407.57 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.28 : 969.15 = 407.57 : x
  2. Step 2: Convert to fraction form
    702.28/969.15 = 407.57/x
  3. Step 3: Cross multiply
    702.28x = 969.15 × 407.57
  4. Step 4: Simplify right side
    702.28x = 394,993.15
  5. Step 5: Solve for x
    x = 394,993.15/702.28
  6. Step 6: Final answer
    x = 562.44

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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.