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Finding the Fourth Proportional to 535.88, 803.12 and 243.36

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Solution

The fourth proportional to 535.88, 803.12 and 243.36 is: 364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 803.12 = 243.36 : x
  2. Step 2: Convert to fraction form
    535.88/803.12 = 243.36/x
  3. Step 3: Cross multiply
    535.88x = 803.12 × 243.36
  4. Step 4: Simplify right side
    535.88x = 195,446.07
  5. Step 5: Solve for x
    x = 195,446.07/535.88
  6. Step 6: Final answer
    x = 364.72

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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.