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Finding the Fourth Proportional to 535.85, 803.79 and 189.14

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Solution

The fourth proportional to 535.85, 803.79 and 189.14 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.85 : 803.79 = 189.14 : x
  2. Step 2: Convert to fraction form
    535.85/803.79 = 189.14/x
  3. Step 3: Cross multiply
    535.85x = 803.79 × 189.14
  4. Step 4: Simplify right side
    535.85x = 152,024.82
  5. Step 5: Solve for x
    x = 152,024.82/535.85
  6. Step 6: Final answer
    x = 283.71

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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.