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Finding the Fourth Proportional to 626.07, 863.26 and 588.40

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Solution

The fourth proportional to 626.07, 863.26 and 588.40 is: 811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.07 : 863.26 = 588.40 : x
  2. Step 2: Convert to fraction form
    626.07/863.26 = 588.40/x
  3. Step 3: Cross multiply
    626.07x = 863.26 × 588.40
  4. Step 4: Simplify right side
    626.07x = 507,942.18
  5. Step 5: Solve for x
    x = 507,942.18/626.07
  6. Step 6: Final answer
    x = 811.32

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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.