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Finding the Fourth Proportional to 535.79, 803.69 and 243.23

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Solution

The fourth proportional to 535.79, 803.69 and 243.23 is: 364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.79 : 803.69 = 243.23 : x
  2. Step 2: Convert to fraction form
    535.79/803.69 = 243.23/x
  3. Step 3: Cross multiply
    535.79x = 803.69 × 243.23
  4. Step 4: Simplify right side
    535.79x = 195,484.14
  5. Step 5: Solve for x
    x = 195,484.14/535.79
  6. Step 6: Final answer
    x = 364.85

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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.