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Finding the Fourth Proportional to 580.89, 801.72 and 344.84

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Solution

The fourth proportional to 580.89, 801.72 and 344.84 is: 475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 801.72 = 344.84 : x
  2. Step 2: Convert to fraction form
    580.89/801.72 = 344.84/x
  3. Step 3: Cross multiply
    580.89x = 801.72 × 344.84
  4. Step 4: Simplify right side
    580.89x = 276,467.13
  5. Step 5: Solve for x
    x = 276,467.13/580.89
  6. Step 6: Final answer
    x = 475.94

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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.