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Finding the Fourth Proportional to 518.97, 716.40 and 353.55

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Solution

The fourth proportional to 518.97, 716.40 and 353.55 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 716.40 = 353.55 : x
  2. Step 2: Convert to fraction form
    518.97/716.40 = 353.55/x
  3. Step 3: Cross multiply
    518.97x = 716.40 × 353.55
  4. Step 4: Simplify right side
    518.97x = 253,283.22
  5. Step 5: Solve for x
    x = 253,283.22/518.97
  6. Step 6: Final answer
    x = 488.05

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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.