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Finding the Fourth Proportional to 623.88, 861.08 and 361.91

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Solution

The fourth proportional to 623.88, 861.08 and 361.91 is: 499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.88 : 861.08 = 361.91 : x
  2. Step 2: Convert to fraction form
    623.88/861.08 = 361.91/x
  3. Step 3: Cross multiply
    623.88x = 861.08 × 361.91
  4. Step 4: Simplify right side
    623.88x = 311,633.81
  5. Step 5: Solve for x
    x = 311,633.81/623.88
  6. Step 6: Final answer
    x = 499.51

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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.