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Finding the Fourth Proportional to 576.98, 796.53 and 356.06

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Solution

The fourth proportional to 576.98, 796.53 and 356.06 is: 491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.98 : 796.53 = 356.06 : x
  2. Step 2: Convert to fraction form
    576.98/796.53 = 356.06/x
  3. Step 3: Cross multiply
    576.98x = 796.53 × 356.06
  4. Step 4: Simplify right side
    576.98x = 283,608.49
  5. Step 5: Solve for x
    x = 283,608.49/576.98
  6. Step 6: Final answer
    x = 491.54

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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.