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Finding the Fourth Proportional to 626.57, 864.74 and 361.00

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Solution

The fourth proportional to 626.57, 864.74 and 361.00 is: 498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.57 : 864.74 = 361.00 : x
  2. Step 2: Convert to fraction form
    626.57/864.74 = 361.00/x
  3. Step 3: Cross multiply
    626.57x = 864.74 × 361.00
  4. Step 4: Simplify right side
    626.57x = 312,169.88
  5. Step 5: Solve for x
    x = 312,169.88/626.57
  6. Step 6: Final answer
    x = 498.22

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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.