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Finding the Fourth Proportional to 537.22, 804.39 and 341.16

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Solution

The fourth proportional to 537.22, 804.39 and 341.16 is: 510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.22 : 804.39 = 341.16 : x
  2. Step 2: Convert to fraction form
    537.22/804.39 = 341.16/x
  3. Step 3: Cross multiply
    537.22x = 804.39 × 341.16
  4. Step 4: Simplify right side
    537.22x = 274,428.13
  5. Step 5: Solve for x
    x = 274,428.13/537.22
  6. Step 6: Final answer
    x = 510.83

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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.