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Finding the Fourth Proportional to 518.95, 716.06 and 408.38

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Solution

The fourth proportional to 518.95, 716.06 and 408.38 is: 563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.95 : 716.06 = 408.38 : x
  2. Step 2: Convert to fraction form
    518.95/716.06 = 408.38/x
  3. Step 3: Cross multiply
    518.95x = 716.06 × 408.38
  4. Step 4: Simplify right side
    518.95x = 292,427.39
  5. Step 5: Solve for x
    x = 292,427.39/518.95
  6. Step 6: Final answer
    x = 563.50

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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.