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Finding the Fourth Proportional to 576.98, 795.97 and 344.02

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Solution

The fourth proportional to 576.98, 795.97 and 344.02 is: 474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.98 : 795.97 = 344.02 : x
  2. Step 2: Convert to fraction form
    576.98/795.97 = 344.02/x
  3. Step 3: Cross multiply
    576.98x = 795.97 × 344.02
  4. Step 4: Simplify right side
    576.98x = 273,829.60
  5. Step 5: Solve for x
    x = 273,829.60/576.98
  6. Step 6: Final answer
    x = 474.59

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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.