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Finding the Fourth Proportional to 518.88, 716.03 and 282.83

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Solution

The fourth proportional to 518.88, 716.03 and 282.83 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 716.03 = 282.83 : x
  2. Step 2: Convert to fraction form
    518.88/716.03 = 282.83/x
  3. Step 3: Cross multiply
    518.88x = 716.03 × 282.83
  4. Step 4: Simplify right side
    518.88x = 202,514.76
  5. Step 5: Solve for x
    x = 202,514.76/518.88
  6. Step 6: Final answer
    x = 390.29

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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.