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Finding the Fourth Proportional to 703.58, 970.85 and 408.89

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Solution

The fourth proportional to 703.58, 970.85 and 408.89 is: 564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.58 : 970.85 = 408.89 : x
  2. Step 2: Convert to fraction form
    703.58/970.85 = 408.89/x
  3. Step 3: Cross multiply
    703.58x = 970.85 × 408.89
  4. Step 4: Simplify right side
    703.58x = 396,974.31
  5. Step 5: Solve for x
    x = 396,974.31/703.58
  6. Step 6: Final answer
    x = 564.22

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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.