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Finding the Fourth Proportional to 535.23, 803.16 and 227.06

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Solution

The fourth proportional to 535.23, 803.16 and 227.06 is: 340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 803.16 = 227.06 : x
  2. Step 2: Convert to fraction form
    535.23/803.16 = 227.06/x
  3. Step 3: Cross multiply
    535.23x = 803.16 × 227.06
  4. Step 4: Simplify right side
    535.23x = 182,365.51
  5. Step 5: Solve for x
    x = 182,365.51/535.23
  6. Step 6: Final answer
    x = 340.72

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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.