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Finding the Fourth Proportional to 576.21, 795.53 and 397.05

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Solution

The fourth proportional to 576.21, 795.53 and 397.05 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.21 : 795.53 = 397.05 : x
  2. Step 2: Convert to fraction form
    576.21/795.53 = 397.05/x
  3. Step 3: Cross multiply
    576.21x = 795.53 × 397.05
  4. Step 4: Simplify right side
    576.21x = 315,863.20
  5. Step 5: Solve for x
    x = 315,863.20/576.21
  6. Step 6: Final answer
    x = 548.17

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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.