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Finding the Fourth Proportional to 381.07, 524.64 and 328.42

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Solution

The fourth proportional to 381.07, 524.64 and 328.42 is: 452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.07 : 524.64 = 328.42 : x
  2. Step 2: Convert to fraction form
    381.07/524.64 = 328.42/x
  3. Step 3: Cross multiply
    381.07x = 524.64 × 328.42
  4. Step 4: Simplify right side
    381.07x = 172,302.27
  5. Step 5: Solve for x
    x = 172,302.27/381.07
  6. Step 6: Final answer
    x = 452.15

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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.