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Finding the Fourth Proportional to 703.15, 970.35 and 408.40

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Solution

The fourth proportional to 703.15, 970.35 and 408.40 is: 563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.15 : 970.35 = 408.40 : x
  2. Step 2: Convert to fraction form
    703.15/970.35 = 408.40/x
  3. Step 3: Cross multiply
    703.15x = 970.35 × 408.40
  4. Step 4: Simplify right side
    703.15x = 396,286.09
  5. Step 5: Solve for x
    x = 396,286.09/703.15
  6. Step 6: Final answer
    x = 563.59

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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.