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Finding the Fourth Proportional to 377.69, 520.70 and 323.01

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Solution

The fourth proportional to 377.69, 520.70 and 323.01 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.69 : 520.70 = 323.01 : x
  2. Step 2: Convert to fraction form
    377.69/520.70 = 323.01/x
  3. Step 3: Cross multiply
    377.69x = 520.70 × 323.01
  4. Step 4: Simplify right side
    377.69x = 168,189.69
  5. Step 5: Solve for x
    x = 168,189.69/377.69
  6. Step 6: Final answer
    x = 445.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.