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Finding the Fourth Proportional to 517.80, 714.92 and 321.60

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Solution

The fourth proportional to 517.80, 714.92 and 321.60 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 714.92 = 321.60 : x
  2. Step 2: Convert to fraction form
    517.80/714.92 = 321.60/x
  3. Step 3: Cross multiply
    517.80x = 714.92 × 321.60
  4. Step 4: Simplify right side
    517.80x = 229,916.66
  5. Step 5: Solve for x
    x = 229,916.66/517.80
  6. Step 6: Final answer
    x = 444.03

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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.