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Finding the Fourth Proportional to 517.79, 714.47 and 321.23

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Solution

The fourth proportional to 517.79, 714.47 and 321.23 is: 443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.79 : 714.47 = 321.23 : x
  2. Step 2: Convert to fraction form
    517.79/714.47 = 321.23/x
  3. Step 3: Cross multiply
    517.79x = 714.47 × 321.23
  4. Step 4: Simplify right side
    517.79x = 229,509.20
  5. Step 5: Solve for x
    x = 229,509.20/517.79
  6. Step 6: Final answer
    x = 443.25

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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.