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Finding the Fourth Proportional to 703.53, 970.86 and 408.85

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Solution

The fourth proportional to 703.53, 970.86 and 408.85 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 970.86 = 408.85 : x
  2. Step 2: Convert to fraction form
    703.53/970.86 = 408.85/x
  3. Step 3: Cross multiply
    703.53x = 970.86 × 408.85
  4. Step 4: Simplify right side
    703.53x = 396,936.11
  5. Step 5: Solve for x
    x = 396,936.11/703.53
  6. Step 6: Final answer
    x = 564.21

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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.