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Finding the Fourth Proportional to 517.56, 714.20 and 321

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Solution

The fourth proportional to 517.56, 714.20 and 321 is: 442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 714.20 = 321 : x
  2. Step 2: Convert to fraction form
    517.56/714.20 = 321/x
  3. Step 3: Cross multiply
    517.56x = 714.20 × 321
  4. Step 4: Simplify right side
    517.56x = 229,258.20
  5. Step 5: Solve for x
    x = 229,258.20/517.56
  6. Step 6: Final answer
    x = 442.96

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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.