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Finding the Fourth Proportional to 702.77, 969.57 and 408.02

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Solution

The fourth proportional to 702.77, 969.57 and 408.02 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.77 : 969.57 = 408.02 : x
  2. Step 2: Convert to fraction form
    702.77/969.57 = 408.02/x
  3. Step 3: Cross multiply
    702.77x = 969.57 × 408.02
  4. Step 4: Simplify right side
    702.77x = 395,603.95
  5. Step 5: Solve for x
    x = 395,603.95/702.77
  6. Step 6: Final answer
    x = 562.92

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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.