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Finding the Fourth Proportional to 536.60, 803.94 and 211.76

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Solution

The fourth proportional to 536.60, 803.94 and 211.76 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.60 : 803.94 = 211.76 : x
  2. Step 2: Convert to fraction form
    536.60/803.94 = 211.76/x
  3. Step 3: Cross multiply
    536.60x = 803.94 × 211.76
  4. Step 4: Simplify right side
    536.60x = 170,242.33
  5. Step 5: Solve for x
    x = 170,242.33/536.60
  6. Step 6: Final answer
    x = 317.26

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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.