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Finding the Fourth Proportional to 518.90, 716.71 and 378.80

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Solution

The fourth proportional to 518.90, 716.71 and 378.80 is: 523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.90 : 716.71 = 378.80 : x
  2. Step 2: Convert to fraction form
    518.90/716.71 = 378.80/x
  3. Step 3: Cross multiply
    518.90x = 716.71 × 378.80
  4. Step 4: Simplify right side
    518.90x = 271,484.51
  5. Step 5: Solve for x
    x = 271,484.51/518.90
  6. Step 6: Final answer
    x = 523.19

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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.