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Finding the Fourth Proportional to 518.10, 713.87 and 352.02

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Solution

The fourth proportional to 518.10, 713.87 and 352.02 is: 485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.10 : 713.87 = 352.02 : x
  2. Step 2: Convert to fraction form
    518.10/713.87 = 352.02/x
  3. Step 3: Cross multiply
    518.10x = 713.87 × 352.02
  4. Step 4: Simplify right side
    518.10x = 251,294.76
  5. Step 5: Solve for x
    x = 251,294.76/518.10
  6. Step 6: Final answer
    x = 485.03

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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.