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Finding the Fourth Proportional to 703.24, 970.86 and 423.54

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Solution

The fourth proportional to 703.24, 970.86 and 423.54 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.24 : 970.86 = 423.54 : x
  2. Step 2: Convert to fraction form
    703.24/970.86 = 423.54/x
  3. Step 3: Cross multiply
    703.24x = 970.86 × 423.54
  4. Step 4: Simplify right side
    703.24x = 411,191.07
  5. Step 5: Solve for x
    x = 411,191.07/703.24
  6. Step 6: Final answer
    x = 584.71

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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.