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Finding the Fourth Proportional to 703.12, 970.23 and 408.40

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Solution

The fourth proportional to 703.12, 970.23 and 408.40 is: 563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.12 : 970.23 = 408.40 : x
  2. Step 2: Convert to fraction form
    703.12/970.23 = 408.40/x
  3. Step 3: Cross multiply
    703.12x = 970.23 × 408.40
  4. Step 4: Simplify right side
    703.12x = 396,237.08
  5. Step 5: Solve for x
    x = 396,237.08/703.12
  6. Step 6: Final answer
    x = 563.55

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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.