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Finding the Fourth Proportional to 473.86, 710.92 and 343.99

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Solution

The fourth proportional to 473.86, 710.92 and 343.99 is: 516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 710.92 = 343.99 : x
  2. Step 2: Convert to fraction form
    473.86/710.92 = 343.99/x
  3. Step 3: Cross multiply
    473.86x = 710.92 × 343.99
  4. Step 4: Simplify right side
    473.86x = 244,545.82
  5. Step 5: Solve for x
    x = 244,545.82/473.86
  6. Step 6: Final answer
    x = 516.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.