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Finding the Fourth Proportional to 347.23, 520.24 and 230.02

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Solution

The fourth proportional to 347.23, 520.24 and 230.02 is: 344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 520.24 = 230.02 : x
  2. Step 2: Convert to fraction form
    347.23/520.24 = 230.02/x
  3. Step 3: Cross multiply
    347.23x = 520.24 × 230.02
  4. Step 4: Simplify right side
    347.23x = 119,668.09
  5. Step 5: Solve for x
    x = 119,668.09/347.23
  6. Step 6: Final answer
    x = 344.64

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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.