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Finding the Fourth Proportional to 536.14, 736.31 and 448.66

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Solution

The fourth proportional to 536.14, 736.31 and 448.66 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 736.31 = 448.66 : x
  2. Step 2: Convert to fraction form
    536.14/736.31 = 448.66/x
  3. Step 3: Cross multiply
    536.14x = 736.31 × 448.66
  4. Step 4: Simplify right side
    536.14x = 330,352.84
  5. Step 5: Solve for x
    x = 330,352.84/536.14
  6. Step 6: Final answer
    x = 616.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.