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Finding the Fourth Proportional to 536.51, 804.60 and 276.37

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Solution

The fourth proportional to 536.51, 804.60 and 276.37 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.51 : 804.60 = 276.37 : x
  2. Step 2: Convert to fraction form
    536.51/804.60 = 276.37/x
  3. Step 3: Cross multiply
    536.51x = 804.60 × 276.37
  4. Step 4: Simplify right side
    536.51x = 222,365.29
  5. Step 5: Solve for x
    x = 222,365.29/536.51
  6. Step 6: Final answer
    x = 414.46

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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.