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Finding the Fourth Proportional to 517.01, 712.22 and 434.12

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Solution

The fourth proportional to 517.01, 712.22 and 434.12 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.01 : 712.22 = 434.12 : x
  2. Step 2: Convert to fraction form
    517.01/712.22 = 434.12/x
  3. Step 3: Cross multiply
    517.01x = 712.22 × 434.12
  4. Step 4: Simplify right side
    517.01x = 309,183.21
  5. Step 5: Solve for x
    x = 309,183.21/517.01
  6. Step 6: Final answer
    x = 598.03

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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.