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Finding the Fourth Proportional to 537.37, 804.22 and 416.18

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Solution

The fourth proportional to 537.37, 804.22 and 416.18 is: 622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.37 : 804.22 = 416.18 : x
  2. Step 2: Convert to fraction form
    537.37/804.22 = 416.18/x
  3. Step 3: Cross multiply
    537.37x = 804.22 × 416.18
  4. Step 4: Simplify right side
    537.37x = 334,701.25
  5. Step 5: Solve for x
    x = 334,701.25/537.37
  6. Step 6: Final answer
    x = 622.85

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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.