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Finding the Fourth Proportional to 513.80, 708.36 and 443.60

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Solution

The fourth proportional to 513.80, 708.36 and 443.60 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.80 : 708.36 = 443.60 : x
  2. Step 2: Convert to fraction form
    513.80/708.36 = 443.60/x
  3. Step 3: Cross multiply
    513.80x = 708.36 × 443.60
  4. Step 4: Simplify right side
    513.80x = 314,228.50
  5. Step 5: Solve for x
    x = 314,228.50/513.80
  6. Step 6: Final answer
    x = 611.58

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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.