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Finding the Fourth Proportional to 602.03, 830.80 and 326.03

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Solution

The fourth proportional to 602.03, 830.80 and 326.03 is: 449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 830.80 = 326.03 : x
  2. Step 2: Convert to fraction form
    602.03/830.80 = 326.03/x
  3. Step 3: Cross multiply
    602.03x = 830.80 × 326.03
  4. Step 4: Simplify right side
    602.03x = 270,865.72
  5. Step 5: Solve for x
    x = 270,865.72/602.03
  6. Step 6: Final answer
    x = 449.92

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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.