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Finding the Fourth Proportional to 518.54, 774.70 and 458.33

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Solution

The fourth proportional to 518.54, 774.70 and 458.33 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.54 : 774.70 = 458.33 : x
  2. Step 2: Convert to fraction form
    518.54/774.70 = 458.33/x
  3. Step 3: Cross multiply
    518.54x = 774.70 × 458.33
  4. Step 4: Simplify right side
    518.54x = 355,063.23
  5. Step 5: Solve for x
    x = 355,063.23/518.54
  6. Step 6: Final answer
    x = 684.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.