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Finding the Fourth Proportional to 384.24, 573.41 and 343.23

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Solution

The fourth proportional to 384.24, 573.41 and 343.23 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.24 : 573.41 = 343.23 : x
  2. Step 2: Convert to fraction form
    384.24/573.41 = 343.23/x
  3. Step 3: Cross multiply
    384.24x = 573.41 × 343.23
  4. Step 4: Simplify right side
    384.24x = 196,811.51
  5. Step 5: Solve for x
    x = 196,811.51/384.24
  6. Step 6: Final answer
    x = 512.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.