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Finding the Fourth Proportional to 536.54, 804.92 and 207.47

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Solution

The fourth proportional to 536.54, 804.92 and 207.47 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.54 : 804.92 = 207.47 : x
  2. Step 2: Convert to fraction form
    536.54/804.92 = 207.47/x
  3. Step 3: Cross multiply
    536.54x = 804.92 × 207.47
  4. Step 4: Simplify right side
    536.54x = 166,996.75
  5. Step 5: Solve for x
    x = 166,996.75/536.54
  6. Step 6: Final answer
    x = 311.25

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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.