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Finding the Fourth Proportional to 626.84, 864.94 and 405.80

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Solution

The fourth proportional to 626.84, 864.94 and 405.80 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.84 : 864.94 = 405.80 : x
  2. Step 2: Convert to fraction form
    626.84/864.94 = 405.80/x
  3. Step 3: Cross multiply
    626.84x = 864.94 × 405.80
  4. Step 4: Simplify right side
    626.84x = 350,992.65
  5. Step 5: Solve for x
    x = 350,992.65/626.84
  6. Step 6: Final answer
    x = 559.94

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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.