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Finding the Fourth Proportional to 703.20, 970 and 408.42

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Solution

The fourth proportional to 703.20, 970 and 408.42 is: 563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.20 : 970 = 408.42 : x
  2. Step 2: Convert to fraction form
    703.20/970 = 408.42/x
  3. Step 3: Cross multiply
    703.20x = 970 × 408.42
  4. Step 4: Simplify right side
    703.20x = 396,167.40
  5. Step 5: Solve for x
    x = 396,167.40/703.20
  6. Step 6: Final answer
    x = 563.38

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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.