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Finding the Fourth Proportional to 682.33, 1,023.62 and 312.16

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Solution

The fourth proportional to 682.33, 1,023.62 and 312.16 is: 468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.33 : 1,023.62 = 312.16 : x
  2. Step 2: Convert to fraction form
    682.33/1,023.62 = 312.16/x
  3. Step 3: Cross multiply
    682.33x = 1,023.62 × 312.16
  4. Step 4: Simplify right side
    682.33x = 319,531.44
  5. Step 5: Solve for x
    x = 319,531.44/682.33
  6. Step 6: Final answer
    x = 468.30

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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.