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Finding the Fourth Proportional to 576.98, 795.90 and 410.83

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Solution

The fourth proportional to 576.98, 795.90 and 410.83 is: 566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.98 : 795.90 = 410.83 : x
  2. Step 2: Convert to fraction form
    576.98/795.90 = 410.83/x
  3. Step 3: Cross multiply
    576.98x = 795.90 × 410.83
  4. Step 4: Simplify right side
    576.98x = 326,979.60
  5. Step 5: Solve for x
    x = 326,979.60/576.98
  6. Step 6: Final answer
    x = 566.71

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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.