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Finding the Fourth Proportional to 623.70, 860.76 and 361.80

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Solution

The fourth proportional to 623.70, 860.76 and 361.80 is: 499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 860.76 = 361.80 : x
  2. Step 2: Convert to fraction form
    623.70/860.76 = 361.80/x
  3. Step 3: Cross multiply
    623.70x = 860.76 × 361.80
  4. Step 4: Simplify right side
    623.70x = 311,422.97
  5. Step 5: Solve for x
    x = 311,422.97/623.70
  6. Step 6: Final answer
    x = 499.32

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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.