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Finding the Fourth Proportional to 580.73, 801.34 and 344.77

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Solution

The fourth proportional to 580.73, 801.34 and 344.77 is: 475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.73 : 801.34 = 344.77 : x
  2. Step 2: Convert to fraction form
    580.73/801.34 = 344.77/x
  3. Step 3: Cross multiply
    580.73x = 801.34 × 344.77
  4. Step 4: Simplify right side
    580.73x = 276,277.99
  5. Step 5: Solve for x
    x = 276,277.99/580.73
  6. Step 6: Final answer
    x = 475.74

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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.