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Finding the Fourth Proportional to 381.45, 526.32 and 322.68

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Solution

The fourth proportional to 381.45, 526.32 and 322.68 is: 445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.45 : 526.32 = 322.68 : x
  2. Step 2: Convert to fraction form
    381.45/526.32 = 322.68/x
  3. Step 3: Cross multiply
    381.45x = 526.32 × 322.68
  4. Step 4: Simplify right side
    381.45x = 169,832.94
  5. Step 5: Solve for x
    x = 169,832.94/381.45
  6. Step 6: Final answer
    x = 445.23

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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.