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Finding the Fourth Proportional to 623.84, 860.99 and 361.80

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Solution

The fourth proportional to 623.84, 860.99 and 361.80 is: 499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.84 : 860.99 = 361.80 : x
  2. Step 2: Convert to fraction form
    623.84/860.99 = 361.80/x
  3. Step 3: Cross multiply
    623.84x = 860.99 × 361.80
  4. Step 4: Simplify right side
    623.84x = 311,504.37
  5. Step 5: Solve for x
    x = 311,504.37/623.84
  6. Step 6: Final answer
    x = 499.34

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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.