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Finding the Fourth Proportional to 576.66, 796.60 and 514.47

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Solution

The fourth proportional to 576.66, 796.60 and 514.47 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.66 : 796.60 = 514.47 : x
  2. Step 2: Convert to fraction form
    576.66/796.60 = 514.47/x
  3. Step 3: Cross multiply
    576.66x = 796.60 × 514.47
  4. Step 4: Simplify right side
    576.66x = 409,826.80
  5. Step 5: Solve for x
    x = 409,826.80/576.66
  6. Step 6: Final answer
    x = 710.69

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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.