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Finding the Fourth Proportional to 703.51, 970.92 and 423.73

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Solution

The fourth proportional to 703.51, 970.92 and 423.73 is: 584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.51 : 970.92 = 423.73 : x
  2. Step 2: Convert to fraction form
    703.51/970.92 = 423.73/x
  3. Step 3: Cross multiply
    703.51x = 970.92 × 423.73
  4. Step 4: Simplify right side
    703.51x = 411,407.93
  5. Step 5: Solve for x
    x = 411,407.93/703.51
  6. Step 6: Final answer
    x = 584.79

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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.