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Finding the Fourth Proportional to 401.90, 602.18 and 386.92

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Solution

The fourth proportional to 401.90, 602.18 and 386.92 is: 579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 602.18 = 386.92 : x
  2. Step 2: Convert to fraction form
    401.90/602.18 = 386.92/x
  3. Step 3: Cross multiply
    401.90x = 602.18 × 386.92
  4. Step 4: Simplify right side
    401.90x = 232,995.49
  5. Step 5: Solve for x
    x = 232,995.49/401.90
  6. Step 6: Final answer
    x = 579.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.