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Finding the Fourth Proportional to 562.26, 842.82 and 319.02

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Solution

The fourth proportional to 562.26, 842.82 and 319.02 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 842.82 = 319.02 : x
  2. Step 2: Convert to fraction form
    562.26/842.82 = 319.02/x
  3. Step 3: Cross multiply
    562.26x = 842.82 × 319.02
  4. Step 4: Simplify right side
    562.26x = 268,876.44
  5. Step 5: Solve for x
    x = 268,876.44/562.26
  6. Step 6: Final answer
    x = 478.21

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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.