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Finding the Fourth Proportional to 345.94, 475.64 and 308.24

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Solution

The fourth proportional to 345.94, 475.64 and 308.24 is: 423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 475.64 = 308.24 : x
  2. Step 2: Convert to fraction form
    345.94/475.64 = 308.24/x
  3. Step 3: Cross multiply
    345.94x = 475.64 × 308.24
  4. Step 4: Simplify right side
    345.94x = 146,611.27
  5. Step 5: Solve for x
    x = 146,611.27/345.94
  6. Step 6: Final answer
    x = 423.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.