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Finding the Fourth Proportional to 536.28, 804.77 and 211.65

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Solution

The fourth proportional to 536.28, 804.77 and 211.65 is: 317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.28 : 804.77 = 211.65 : x
  2. Step 2: Convert to fraction form
    536.28/804.77 = 211.65/x
  3. Step 3: Cross multiply
    536.28x = 804.77 × 211.65
  4. Step 4: Simplify right side
    536.28x = 170,328.51
  5. Step 5: Solve for x
    x = 170,328.51/536.28
  6. Step 6: Final answer
    x = 317.61

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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.