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Finding the Fourth Proportional to 536.79, 804.60 and 211.80

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Solution

The fourth proportional to 536.79, 804.60 and 211.80 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.79 : 804.60 = 211.80 : x
  2. Step 2: Convert to fraction form
    536.79/804.60 = 211.80/x
  3. Step 3: Cross multiply
    536.79x = 804.60 × 211.80
  4. Step 4: Simplify right side
    536.79x = 170,414.28
  5. Step 5: Solve for x
    x = 170,414.28/536.79
  6. Step 6: Final answer
    x = 317.47

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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.