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Finding the Fourth Proportional to 580.91, 801.81 and 359.74

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Solution

The fourth proportional to 580.91, 801.81 and 359.74 is: 496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.91 : 801.81 = 359.74 : x
  2. Step 2: Convert to fraction form
    580.91/801.81 = 359.74/x
  3. Step 3: Cross multiply
    580.91x = 801.81 × 359.74
  4. Step 4: Simplify right side
    580.91x = 288,443.48
  5. Step 5: Solve for x
    x = 288,443.48/580.91
  6. Step 6: Final answer
    x = 496.53

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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.