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Finding the Fourth Proportional to 401.22, 602.10 and 298.62

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Solution

The fourth proportional to 401.22, 602.10 and 298.62 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.22 : 602.10 = 298.62 : x
  2. Step 2: Convert to fraction form
    401.22/602.10 = 298.62/x
  3. Step 3: Cross multiply
    401.22x = 602.10 × 298.62
  4. Step 4: Simplify right side
    401.22x = 179,799.10
  5. Step 5: Solve for x
    x = 179,799.10/401.22
  6. Step 6: Final answer
    x = 448.13

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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.