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Finding the Fourth Proportional to 591.33, 816.05 and 381.59

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Solution

The fourth proportional to 591.33, 816.05 and 381.59 is: 526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.33 : 816.05 = 381.59 : x
  2. Step 2: Convert to fraction form
    591.33/816.05 = 381.59/x
  3. Step 3: Cross multiply
    591.33x = 816.05 × 381.59
  4. Step 4: Simplify right side
    591.33x = 311,390.53
  5. Step 5: Solve for x
    x = 311,390.53/591.33
  6. Step 6: Final answer
    x = 526.59

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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.