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Finding the Fourth Proportional to 399.70, 599.23 and 245.67

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Solution

The fourth proportional to 399.70, 599.23 and 245.67 is: 368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.70 : 599.23 = 245.67 : x
  2. Step 2: Convert to fraction form
    399.70/599.23 = 245.67/x
  3. Step 3: Cross multiply
    399.70x = 599.23 × 245.67
  4. Step 4: Simplify right side
    399.70x = 147,212.83
  5. Step 5: Solve for x
    x = 147,212.83/399.70
  6. Step 6: Final answer
    x = 368.31

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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.