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Finding the Fourth Proportional to 626.54, 864.07 and 405.26

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Solution

The fourth proportional to 626.54, 864.07 and 405.26 is: 558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.54 : 864.07 = 405.26 : x
  2. Step 2: Convert to fraction form
    626.54/864.07 = 405.26/x
  3. Step 3: Cross multiply
    626.54x = 864.07 × 405.26
  4. Step 4: Simplify right side
    626.54x = 350,174.16
  5. Step 5: Solve for x
    x = 350,174.16/626.54
  6. Step 6: Final answer
    x = 558.90

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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.