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Finding the Fourth Proportional to 537.64, 804.84 and 380.91

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Solution

The fourth proportional to 537.64, 804.84 and 380.91 is: 570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 804.84 = 380.91 : x
  2. Step 2: Convert to fraction form
    537.64/804.84 = 380.91/x
  3. Step 3: Cross multiply
    537.64x = 804.84 × 380.91
  4. Step 4: Simplify right side
    537.64x = 306,571.60
  5. Step 5: Solve for x
    x = 306,571.60/537.64
  6. Step 6: Final answer
    x = 570.22

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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.