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Finding the Fourth Proportional to 544.08, 814.16 and 380.96

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Solution

The fourth proportional to 544.08, 814.16 and 380.96 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.08 : 814.16 = 380.96 : x
  2. Step 2: Convert to fraction form
    544.08/814.16 = 380.96/x
  3. Step 3: Cross multiply
    544.08x = 814.16 × 380.96
  4. Step 4: Simplify right side
    544.08x = 310,162.39
  5. Step 5: Solve for x
    x = 310,162.39/544.08
  6. Step 6: Final answer
    x = 570.07

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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.