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Finding the Fourth Proportional to 576.20, 795.42 and 410.60

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Solution

The fourth proportional to 576.20, 795.42 and 410.60 is: 566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 795.42 = 410.60 : x
  2. Step 2: Convert to fraction form
    576.20/795.42 = 410.60/x
  3. Step 3: Cross multiply
    576.20x = 795.42 × 410.60
  4. Step 4: Simplify right side
    576.20x = 326,599.45
  5. Step 5: Solve for x
    x = 326,599.45/576.20
  6. Step 6: Final answer
    x = 566.82

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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.