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Finding the Fourth Proportional to 535.78, 803.76 and 170.48

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Solution

The fourth proportional to 535.78, 803.76 and 170.48 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 803.76 = 170.48 : x
  2. Step 2: Convert to fraction form
    535.78/803.76 = 170.48/x
  3. Step 3: Cross multiply
    535.78x = 803.76 × 170.48
  4. Step 4: Simplify right side
    535.78x = 137,025.00
  5. Step 5: Solve for x
    x = 137,025.00/535.78
  6. Step 6: Final answer
    x = 255.75

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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.