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Finding the Fourth Proportional to 703.53, 971.19 and 408.74

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Solution

The fourth proportional to 703.53, 971.19 and 408.74 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 971.19 = 408.74 : x
  2. Step 2: Convert to fraction form
    703.53/971.19 = 408.74/x
  3. Step 3: Cross multiply
    703.53x = 971.19 × 408.74
  4. Step 4: Simplify right side
    703.53x = 396,959.34
  5. Step 5: Solve for x
    x = 396,959.34/703.53
  6. Step 6: Final answer
    x = 564.24

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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.