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Finding the Fourth Proportional to 384.14, 573.26 and 343.13

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Solution

The fourth proportional to 384.14, 573.26 and 343.13 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 573.26 = 343.13 : x
  2. Step 2: Convert to fraction form
    384.14/573.26 = 343.13/x
  3. Step 3: Cross multiply
    384.14x = 573.26 × 343.13
  4. Step 4: Simplify right side
    384.14x = 196,698.12
  5. Step 5: Solve for x
    x = 196,698.12/384.14
  6. Step 6: Final answer
    x = 512.04

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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.