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Finding the Fourth Proportional to 537, 804.60 and 331.14

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Solution

The fourth proportional to 537, 804.60 and 331.14 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 804.60 = 331.14 : x
  2. Step 2: Convert to fraction form
    537/804.60 = 331.14/x
  3. Step 3: Cross multiply
    537x = 804.60 × 331.14
  4. Step 4: Simplify right side
    537x = 266,435.24
  5. Step 5: Solve for x
    x = 266,435.24/537
  6. Step 6: Final answer
    x = 496.16

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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.