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Finding the Fourth Proportional to 576.60, 795.28 and 410.84

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Solution

The fourth proportional to 576.60, 795.28 and 410.84 is: 566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 795.28 = 410.84 : x
  2. Step 2: Convert to fraction form
    576.60/795.28 = 410.84/x
  3. Step 3: Cross multiply
    576.60x = 795.28 × 410.84
  4. Step 4: Simplify right side
    576.60x = 326,732.84
  5. Step 5: Solve for x
    x = 326,732.84/576.60
  6. Step 6: Final answer
    x = 566.65

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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.