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Finding the Fourth Proportional to 581.32, 801.92 and 394.82

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Solution

The fourth proportional to 581.32, 801.92 and 394.82 is: 544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.32 : 801.92 = 394.82 : x
  2. Step 2: Convert to fraction form
    581.32/801.92 = 394.82/x
  3. Step 3: Cross multiply
    581.32x = 801.92 × 394.82
  4. Step 4: Simplify right side
    581.32x = 316,611.03
  5. Step 5: Solve for x
    x = 316,611.03/581.32
  6. Step 6: Final answer
    x = 544.64

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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.