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Finding the Fourth Proportional to 384.69, 574.06 and 343.67

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Solution

The fourth proportional to 384.69, 574.06 and 343.67 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 574.06 = 343.67 : x
  2. Step 2: Convert to fraction form
    384.69/574.06 = 343.67/x
  3. Step 3: Cross multiply
    384.69x = 574.06 × 343.67
  4. Step 4: Simplify right side
    384.69x = 197,287.20
  5. Step 5: Solve for x
    x = 197,287.20/384.69
  6. Step 6: Final answer
    x = 512.85

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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.