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Finding the Fourth Proportional to 703.16, 970.39 and 423.42

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Solution

The fourth proportional to 703.16, 970.39 and 423.42 is: 584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.16 : 970.39 = 423.42 : x
  2. Step 2: Convert to fraction form
    703.16/970.39 = 423.42/x
  3. Step 3: Cross multiply
    703.16x = 970.39 × 423.42
  4. Step 4: Simplify right side
    703.16x = 410,882.53
  5. Step 5: Solve for x
    x = 410,882.53/703.16
  6. Step 6: Final answer
    x = 584.34

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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.