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Finding the Fourth Proportional to 535.93, 803.55 and 227.98

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Solution

The fourth proportional to 535.93, 803.55 and 227.98 is: 341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.93 : 803.55 = 227.98 : x
  2. Step 2: Convert to fraction form
    535.93/803.55 = 227.98/x
  3. Step 3: Cross multiply
    535.93x = 803.55 × 227.98
  4. Step 4: Simplify right side
    535.93x = 183,193.33
  5. Step 5: Solve for x
    x = 183,193.33/535.93
  6. Step 6: Final answer
    x = 341.82

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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.