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Finding the Fourth Proportional to 602.12, 830.92 and 326.12

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Solution

The fourth proportional to 602.12, 830.92 and 326.12 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.12 : 830.92 = 326.12 : x
  2. Step 2: Convert to fraction form
    602.12/830.92 = 326.12/x
  3. Step 3: Cross multiply
    602.12x = 830.92 × 326.12
  4. Step 4: Simplify right side
    602.12x = 270,979.63
  5. Step 5: Solve for x
    x = 270,979.63/602.12
  6. Step 6: Final answer
    x = 450.04

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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.