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Finding the Fourth Proportional to 708.52, 1,063.05 and 323.50

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Solution

The fourth proportional to 708.52, 1,063.05 and 323.50 is: 485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.52 : 1,063.05 = 323.50 : x
  2. Step 2: Convert to fraction form
    708.52/1,063.05 = 323.50/x
  3. Step 3: Cross multiply
    708.52x = 1,063.05 × 323.50
  4. Step 4: Simplify right side
    708.52x = 343,896.68
  5. Step 5: Solve for x
    x = 343,896.68/708.52
  6. Step 6: Final answer
    x = 485.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.