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Finding the Fourth Proportional to 623.24, 859.85 and 374.37

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Solution

The fourth proportional to 623.24, 859.85 and 374.37 is: 516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.24 : 859.85 = 374.37 : x
  2. Step 2: Convert to fraction form
    623.24/859.85 = 374.37/x
  3. Step 3: Cross multiply
    623.24x = 859.85 × 374.37
  4. Step 4: Simplify right side
    623.24x = 321,902.04
  5. Step 5: Solve for x
    x = 321,902.04/623.24
  6. Step 6: Final answer
    x = 516.50

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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.