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Finding the Fourth Proportional to 322.74, 445.77 and 281.16

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Solution

The fourth proportional to 322.74, 445.77 and 281.16 is: 388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 445.77 = 281.16 : x
  2. Step 2: Convert to fraction form
    322.74/445.77 = 281.16/x
  3. Step 3: Cross multiply
    322.74x = 445.77 × 281.16
  4. Step 4: Simplify right side
    322.74x = 125,332.69
  5. Step 5: Solve for x
    x = 125,332.69/322.74
  6. Step 6: Final answer
    x = 388.34

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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.