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Finding the Fourth Proportional to 535.57, 804.27 and 331.35

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Solution

The fourth proportional to 535.57, 804.27 and 331.35 is: 497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.57 : 804.27 = 331.35 : x
  2. Step 2: Convert to fraction form
    535.57/804.27 = 331.35/x
  3. Step 3: Cross multiply
    535.57x = 804.27 × 331.35
  4. Step 4: Simplify right side
    535.57x = 266,494.86
  5. Step 5: Solve for x
    x = 266,494.86/535.57
  6. Step 6: Final answer
    x = 497.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.