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Finding the Fourth Proportional to 591.59, 816.44 and 381.80

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Solution

The fourth proportional to 591.59, 816.44 and 381.80 is: 526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.59 : 816.44 = 381.80 : x
  2. Step 2: Convert to fraction form
    591.59/816.44 = 381.80/x
  3. Step 3: Cross multiply
    591.59x = 816.44 × 381.80
  4. Step 4: Simplify right side
    591.59x = 311,716.79
  5. Step 5: Solve for x
    x = 311,716.79/591.59
  6. Step 6: Final answer
    x = 526.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.