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Finding the Fourth Proportional to 580.72, 801.49 and 347.84

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Solution

The fourth proportional to 580.72, 801.49 and 347.84 is: 480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.72 : 801.49 = 347.84 : x
  2. Step 2: Convert to fraction form
    580.72/801.49 = 347.84/x
  3. Step 3: Cross multiply
    580.72x = 801.49 × 347.84
  4. Step 4: Simplify right side
    580.72x = 278,794.59
  5. Step 5: Solve for x
    x = 278,794.59/580.72
  6. Step 6: Final answer
    x = 480.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.