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Finding the Fourth Proportional to 536.24, 803.72 and 227.98

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Solution

The fourth proportional to 536.24, 803.72 and 227.98 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 803.72 = 227.98 : x
  2. Step 2: Convert to fraction form
    536.24/803.72 = 227.98/x
  3. Step 3: Cross multiply
    536.24x = 803.72 × 227.98
  4. Step 4: Simplify right side
    536.24x = 183,232.09
  5. Step 5: Solve for x
    x = 183,232.09/536.24
  6. Step 6: Final answer
    x = 341.70

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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.