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Finding the Fourth Proportional to 576.25, 794.86 and 410.68

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Solution

The fourth proportional to 576.25, 794.86 and 410.68 is: 566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.25 : 794.86 = 410.68 : x
  2. Step 2: Convert to fraction form
    576.25/794.86 = 410.68/x
  3. Step 3: Cross multiply
    576.25x = 794.86 × 410.68
  4. Step 4: Simplify right side
    576.25x = 326,433.10
  5. Step 5: Solve for x
    x = 326,433.10/576.25
  6. Step 6: Final answer
    x = 566.48

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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.