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Finding the Fourth Proportional to 591.76, 816.32 and 381.84

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Solution

The fourth proportional to 591.76, 816.32 and 381.84 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.76 : 816.32 = 381.84 : x
  2. Step 2: Convert to fraction form
    591.76/816.32 = 381.84/x
  3. Step 3: Cross multiply
    591.76x = 816.32 × 381.84
  4. Step 4: Simplify right side
    591.76x = 311,703.63
  5. Step 5: Solve for x
    x = 311,703.63/591.76
  6. Step 6: Final answer
    x = 526.74

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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.