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Finding the Fourth Proportional to 538.56, 803.38 and 531.52

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Solution

The fourth proportional to 538.56, 803.38 and 531.52 is: 792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 803.38 = 531.52 : x
  2. Step 2: Convert to fraction form
    538.56/803.38 = 531.52/x
  3. Step 3: Cross multiply
    538.56x = 803.38 × 531.52
  4. Step 4: Simplify right side
    538.56x = 427,012.54
  5. Step 5: Solve for x
    x = 427,012.54/538.56
  6. Step 6: Final answer
    x = 792.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.