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Finding the Fourth Proportional to 418.23, 577.46 and 270.95

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Solution

The fourth proportional to 418.23, 577.46 and 270.95 is: 374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.23 : 577.46 = 270.95 : x
  2. Step 2: Convert to fraction form
    418.23/577.46 = 270.95/x
  3. Step 3: Cross multiply
    418.23x = 577.46 × 270.95
  4. Step 4: Simplify right side
    418.23x = 156,460.58
  5. Step 5: Solve for x
    x = 156,460.58/418.23
  6. Step 6: Final answer
    x = 374.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.