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Finding the Fourth Proportional to 518.98, 716.19 and 282.91

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Solution

The fourth proportional to 518.98, 716.19 and 282.91 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 716.19 = 282.91 : x
  2. Step 2: Convert to fraction form
    518.98/716.19 = 282.91/x
  3. Step 3: Cross multiply
    518.98x = 716.19 × 282.91
  4. Step 4: Simplify right side
    518.98x = 202,617.31
  5. Step 5: Solve for x
    x = 202,617.31/518.98
  6. Step 6: Final answer
    x = 390.41

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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.