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Finding the Fourth Proportional to 703.36, 970.25 and 423.43

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Solution

The fourth proportional to 703.36, 970.25 and 423.43 is: 584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.36 : 970.25 = 423.43 : x
  2. Step 2: Convert to fraction form
    703.36/970.25 = 423.43/x
  3. Step 3: Cross multiply
    703.36x = 970.25 × 423.43
  4. Step 4: Simplify right side
    703.36x = 410,828.41
  5. Step 5: Solve for x
    x = 410,828.41/703.36
  6. Step 6: Final answer
    x = 584.10

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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.