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Finding the Fourth Proportional to 708.80, 978.30 and 443.36

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Solution

The fourth proportional to 708.80, 978.30 and 443.36 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.80 : 978.30 = 443.36 : x
  2. Step 2: Convert to fraction form
    708.80/978.30 = 443.36/x
  3. Step 3: Cross multiply
    708.80x = 978.30 × 443.36
  4. Step 4: Simplify right side
    708.80x = 433,739.09
  5. Step 5: Solve for x
    x = 433,739.09/708.80
  6. Step 6: Final answer
    x = 611.93

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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.