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Finding the Fourth Proportional to 518.04, 714.42 and 321.12

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Solution

The fourth proportional to 518.04, 714.42 and 321.12 is: 442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 714.42 = 321.12 : x
  2. Step 2: Convert to fraction form
    518.04/714.42 = 321.12/x
  3. Step 3: Cross multiply
    518.04x = 714.42 × 321.12
  4. Step 4: Simplify right side
    518.04x = 229,414.55
  5. Step 5: Solve for x
    x = 229,414.55/518.04
  6. Step 6: Final answer
    x = 442.85

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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.