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Finding the Fourth Proportional to 381.84, 525.87 and 380.64

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Solution

The fourth proportional to 381.84, 525.87 and 380.64 is: 524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 525.87 = 380.64 : x
  2. Step 2: Convert to fraction form
    381.84/525.87 = 380.64/x
  3. Step 3: Cross multiply
    381.84x = 525.87 × 380.64
  4. Step 4: Simplify right side
    381.84x = 200,167.16
  5. Step 5: Solve for x
    x = 200,167.16/381.84
  6. Step 6: Final answer
    x = 524.22

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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.