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Finding the Fourth Proportional to 518.75, 716.42 and 363.23

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Solution

The fourth proportional to 518.75, 716.42 and 363.23 is: 501.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.75 : 716.42 = 363.23 : x
  2. Step 2: Convert to fraction form
    518.75/716.42 = 363.23/x
  3. Step 3: Cross multiply
    518.75x = 716.42 × 363.23
  4. Step 4: Simplify right side
    518.75x = 260,223.42
  5. Step 5: Solve for x
    x = 260,223.42/518.75
  6. Step 6: Final answer
    x = 501.64

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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.