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Finding the Fourth Proportional to 591.44, 816.24 and 381.76

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Solution

The fourth proportional to 591.44, 816.24 and 381.76 is: 526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.44 : 816.24 = 381.76 : x
  2. Step 2: Convert to fraction form
    591.44/816.24 = 381.76/x
  3. Step 3: Cross multiply
    591.44x = 816.24 × 381.76
  4. Step 4: Simplify right side
    591.44x = 311,607.78
  5. Step 5: Solve for x
    x = 311,607.78/591.44
  6. Step 6: Final answer
    x = 526.86

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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.