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Finding the Fourth Proportional to 381.54, 524.68 and 305.91

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Solution

The fourth proportional to 381.54, 524.68 and 305.91 is: 420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 524.68 = 305.91 : x
  2. Step 2: Convert to fraction form
    381.54/524.68 = 305.91/x
  3. Step 3: Cross multiply
    381.54x = 524.68 × 305.91
  4. Step 4: Simplify right side
    381.54x = 160,504.86
  5. Step 5: Solve for x
    x = 160,504.86/381.54
  6. Step 6: Final answer
    x = 420.68

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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.