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Finding the Fourth Proportional to 580.82, 801.74 and 359.87

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Solution

The fourth proportional to 580.82, 801.74 and 359.87 is: 496.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.82 : 801.74 = 359.87 : x
  2. Step 2: Convert to fraction form
    580.82/801.74 = 359.87/x
  3. Step 3: Cross multiply
    580.82x = 801.74 × 359.87
  4. Step 4: Simplify right side
    580.82x = 288,522.17
  5. Step 5: Solve for x
    x = 288,522.17/580.82
  6. Step 6: Final answer
    x = 496.75

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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.