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Finding the Fourth Proportional to 535.13, 803.56 and 331

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Solution

The fourth proportional to 535.13, 803.56 and 331 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 803.56 = 331 : x
  2. Step 2: Convert to fraction form
    535.13/803.56 = 331/x
  3. Step 3: Cross multiply
    535.13x = 803.56 × 331
  4. Step 4: Simplify right side
    535.13x = 265,978.36
  5. Step 5: Solve for x
    x = 265,978.36/535.13
  6. Step 6: Final answer
    x = 497.04

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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.