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Finding the Fourth Proportional to 535.67, 803.67 and 261.80

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Solution

The fourth proportional to 535.67, 803.67 and 261.80 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.67 : 803.67 = 261.80 : x
  2. Step 2: Convert to fraction form
    535.67/803.67 = 261.80/x
  3. Step 3: Cross multiply
    535.67x = 803.67 × 261.80
  4. Step 4: Simplify right side
    535.67x = 210,395.48
  5. Step 5: Solve for x
    x = 210,395.48/535.67
  6. Step 6: Final answer
    x = 392.77

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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.