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Finding the Fourth Proportional to 536.82, 741.06 and 340.44

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Solution

The fourth proportional to 536.82, 741.06 and 340.44 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.82 : 741.06 = 340.44 : x
  2. Step 2: Convert to fraction form
    536.82/741.06 = 340.44/x
  3. Step 3: Cross multiply
    536.82x = 741.06 × 340.44
  4. Step 4: Simplify right side
    536.82x = 252,286.47
  5. Step 5: Solve for x
    x = 252,286.47/536.82
  6. Step 6: Final answer
    x = 469.96

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Why These Related Problems?

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