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Finding the Fourth Proportional to 623.44, 860.25 and 361.41

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Solution

The fourth proportional to 623.44, 860.25 and 361.41 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.44 : 860.25 = 361.41 : x
  2. Step 2: Convert to fraction form
    623.44/860.25 = 361.41/x
  3. Step 3: Cross multiply
    623.44x = 860.25 × 361.41
  4. Step 4: Simplify right side
    623.44x = 310,901.08
  5. Step 5: Solve for x
    x = 310,901.08/623.44
  6. Step 6: Final answer
    x = 498.69

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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.