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Finding the Fourth Proportional to 580.58, 801.17 and 356.88

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Solution

The fourth proportional to 580.58, 801.17 and 356.88 is: 492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.58 : 801.17 = 356.88 : x
  2. Step 2: Convert to fraction form
    580.58/801.17 = 356.88/x
  3. Step 3: Cross multiply
    580.58x = 801.17 × 356.88
  4. Step 4: Simplify right side
    580.58x = 285,920.85
  5. Step 5: Solve for x
    x = 285,920.85/580.58
  6. Step 6: Final answer
    x = 492.48

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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.