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Finding the Fourth Proportional to 517.99, 714.86 and 343.21

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Solution

The fourth proportional to 517.99, 714.86 and 343.21 is: 473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 714.86 = 343.21 : x
  2. Step 2: Convert to fraction form
    517.99/714.86 = 343.21/x
  3. Step 3: Cross multiply
    517.99x = 714.86 × 343.21
  4. Step 4: Simplify right side
    517.99x = 245,345.38
  5. Step 5: Solve for x
    x = 245,345.38/517.99
  6. Step 6: Final answer
    x = 473.65

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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.