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Finding the Fourth Proportional to 623.54, 860.36 and 361.42

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Solution

The fourth proportional to 623.54, 860.36 and 361.42 is: 498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.54 : 860.36 = 361.42 : x
  2. Step 2: Convert to fraction form
    623.54/860.36 = 361.42/x
  3. Step 3: Cross multiply
    623.54x = 860.36 × 361.42
  4. Step 4: Simplify right side
    623.54x = 310,947.35
  5. Step 5: Solve for x
    x = 310,947.35/623.54
  6. Step 6: Final answer
    x = 498.68

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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.