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Finding the Fourth Proportional to 623.40, 860.10 and 361.26

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Solution

The fourth proportional to 623.40, 860.10 and 361.26 is: 498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 860.10 = 361.26 : x
  2. Step 2: Convert to fraction form
    623.40/860.10 = 361.26/x
  3. Step 3: Cross multiply
    623.40x = 860.10 × 361.26
  4. Step 4: Simplify right side
    623.40x = 310,719.73
  5. Step 5: Solve for x
    x = 310,719.73/623.40
  6. Step 6: Final answer
    x = 498.43

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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.