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Finding the Fourth Proportional to 384.14, 575.35 and 343.10

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Solution

The fourth proportional to 384.14, 575.35 and 343.10 is: 513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.14 : 575.35 = 343.10 : x
  2. Step 2: Convert to fraction form
    384.14/575.35 = 343.10/x
  3. Step 3: Cross multiply
    384.14x = 575.35 × 343.10
  4. Step 4: Simplify right side
    384.14x = 197,398.85
  5. Step 5: Solve for x
    x = 197,398.85/384.14
  6. Step 6: Final answer
    x = 513.88

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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.