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Finding the Fourth Proportional to 580.46, 801.51 and 394.34

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Solution

The fourth proportional to 580.46, 801.51 and 394.34 is: 544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.46 : 801.51 = 394.34 : x
  2. Step 2: Convert to fraction form
    580.46/801.51 = 394.34/x
  3. Step 3: Cross multiply
    580.46x = 801.51 × 394.34
  4. Step 4: Simplify right side
    580.46x = 316,067.45
  5. Step 5: Solve for x
    x = 316,067.45/580.46
  6. Step 6: Final answer
    x = 544.51

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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.