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Finding the Fourth Proportional to 381.77, 528.23 and 332.81

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Solution

The fourth proportional to 381.77, 528.23 and 332.81 is: 460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.77 : 528.23 = 332.81 : x
  2. Step 2: Convert to fraction form
    381.77/528.23 = 332.81/x
  3. Step 3: Cross multiply
    381.77x = 528.23 × 332.81
  4. Step 4: Simplify right side
    381.77x = 175,800.23
  5. Step 5: Solve for x
    x = 175,800.23/381.77
  6. Step 6: Final answer
    x = 460.49

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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.