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Finding the Fourth Proportional to 623.20, 859.66 and 374.39

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Solution

The fourth proportional to 623.20, 859.66 and 374.39 is: 516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.20 : 859.66 = 374.39 : x
  2. Step 2: Convert to fraction form
    623.20/859.66 = 374.39/x
  3. Step 3: Cross multiply
    623.20x = 859.66 × 374.39
  4. Step 4: Simplify right side
    623.20x = 321,848.11
  5. Step 5: Solve for x
    x = 321,848.11/623.20
  6. Step 6: Final answer
    x = 516.44

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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.