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Finding the Fourth Proportional to 581.89, 803.01 and 349.15

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Solution

The fourth proportional to 581.89, 803.01 and 349.15 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.89 : 803.01 = 349.15 : x
  2. Step 2: Convert to fraction form
    581.89/803.01 = 349.15/x
  3. Step 3: Cross multiply
    581.89x = 803.01 × 349.15
  4. Step 4: Simplify right side
    581.89x = 280,370.94
  5. Step 5: Solve for x
    x = 280,370.94/581.89
  6. Step 6: Final answer
    x = 481.83

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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.