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Finding the Fourth Proportional to 518.18, 714.85 and 321.65

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Solution

The fourth proportional to 518.18, 714.85 and 321.65 is: 443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.18 : 714.85 = 321.65 : x
  2. Step 2: Convert to fraction form
    518.18/714.85 = 321.65/x
  3. Step 3: Cross multiply
    518.18x = 714.85 × 321.65
  4. Step 4: Simplify right side
    518.18x = 229,927.93
  5. Step 5: Solve for x
    x = 229,927.93/518.18
  6. Step 6: Final answer
    x = 443.73

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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.