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Finding the Fourth Proportional to 518.78, 715.82 and 403.22

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Solution

The fourth proportional to 518.78, 715.82 and 403.22 is: 556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 715.82 = 403.22 : x
  2. Step 2: Convert to fraction form
    518.78/715.82 = 403.22/x
  3. Step 3: Cross multiply
    518.78x = 715.82 × 403.22
  4. Step 4: Simplify right side
    518.78x = 288,632.94
  5. Step 5: Solve for x
    x = 288,632.94/518.78
  6. Step 6: Final answer
    x = 556.37

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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.