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Finding the Fourth Proportional to 626.27, 864.36 and 416.48

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Solution

The fourth proportional to 626.27, 864.36 and 416.48 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.27 : 864.36 = 416.48 : x
  2. Step 2: Convert to fraction form
    626.27/864.36 = 416.48/x
  3. Step 3: Cross multiply
    626.27x = 864.36 × 416.48
  4. Step 4: Simplify right side
    626.27x = 359,984.33
  5. Step 5: Solve for x
    x = 359,984.33/626.27
  6. Step 6: Final answer
    x = 574.81

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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.