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Finding the Fourth Proportional to 623.84, 860.92 and 361.84

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Solution

The fourth proportional to 623.84, 860.92 and 361.84 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.84 : 860.92 = 361.84 : x
  2. Step 2: Convert to fraction form
    623.84/860.92 = 361.84/x
  3. Step 3: Cross multiply
    623.84x = 860.92 × 361.84
  4. Step 4: Simplify right side
    623.84x = 311,515.29
  5. Step 5: Solve for x
    x = 311,515.29/623.84
  6. Step 6: Final answer
    x = 499.35

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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.