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Finding the Fourth Proportional to 576.83, 863.37 and 316.18

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Solution

The fourth proportional to 576.83, 863.37 and 316.18 is: 473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.83 : 863.37 = 316.18 : x
  2. Step 2: Convert to fraction form
    576.83/863.37 = 316.18/x
  3. Step 3: Cross multiply
    576.83x = 863.37 × 316.18
  4. Step 4: Simplify right side
    576.83x = 272,978.17
  5. Step 5: Solve for x
    x = 272,978.17/576.83
  6. Step 6: Final answer
    x = 473.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.