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Finding the Fourth Proportional to 576.41, 795.30 and 566.69

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Solution

The fourth proportional to 576.41, 795.30 and 566.69 is: 781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 795.30 = 566.69 : x
  2. Step 2: Convert to fraction form
    576.41/795.30 = 566.69/x
  3. Step 3: Cross multiply
    576.41x = 795.30 × 566.69
  4. Step 4: Simplify right side
    576.41x = 450,688.56
  5. Step 5: Solve for x
    x = 450,688.56/576.41
  6. Step 6: Final answer
    x = 781.89

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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.