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Finding the Fourth Proportional to 535.50, 803.57 and 246.96

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Solution

The fourth proportional to 535.50, 803.57 and 246.96 is: 370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 803.57 = 246.96 : x
  2. Step 2: Convert to fraction form
    535.50/803.57 = 246.96/x
  3. Step 3: Cross multiply
    535.50x = 803.57 × 246.96
  4. Step 4: Simplify right side
    535.50x = 198,448.41
  5. Step 5: Solve for x
    x = 198,448.41/535.50
  6. Step 6: Final answer
    x = 370.59

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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.