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Finding the Fourth Proportional to 535.98, 803.74 and 189.24

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Solution

The fourth proportional to 535.98, 803.74 and 189.24 is: 283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 803.74 = 189.24 : x
  2. Step 2: Convert to fraction form
    535.98/803.74 = 189.24/x
  3. Step 3: Cross multiply
    535.98x = 803.74 × 189.24
  4. Step 4: Simplify right side
    535.98x = 152,099.76
  5. Step 5: Solve for x
    x = 152,099.76/535.98
  6. Step 6: Final answer
    x = 283.78

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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.