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Finding the Fourth Proportional to 536.22, 739.95 and 300.17

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Solution

The fourth proportional to 536.22, 739.95 and 300.17 is: 414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 739.95 = 300.17 : x
  2. Step 2: Convert to fraction form
    536.22/739.95 = 300.17/x
  3. Step 3: Cross multiply
    536.22x = 739.95 × 300.17
  4. Step 4: Simplify right side
    536.22x = 222,113.20
  5. Step 5: Solve for x
    x = 222,113.20/536.22
  6. Step 6: Final answer
    x = 414.22

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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.