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Finding the Fourth Proportional to 708.08, 976.75 and 445.64

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Solution

The fourth proportional to 708.08, 976.75 and 445.64 is: 614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.08 : 976.75 = 445.64 : x
  2. Step 2: Convert to fraction form
    708.08/976.75 = 445.64/x
  3. Step 3: Cross multiply
    708.08x = 976.75 × 445.64
  4. Step 4: Simplify right side
    708.08x = 435,272.87
  5. Step 5: Solve for x
    x = 435,272.87/708.08
  6. Step 6: Final answer
    x = 614.73

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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.