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Finding the Fourth Proportional to 612.60, 845.63 and 426.20

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Solution

The fourth proportional to 612.60, 845.63 and 426.20 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.60 : 845.63 = 426.20 : x
  2. Step 2: Convert to fraction form
    612.60/845.63 = 426.20/x
  3. Step 3: Cross multiply
    612.60x = 845.63 × 426.20
  4. Step 4: Simplify right side
    612.60x = 360,408.57
  5. Step 5: Solve for x
    x = 360,408.57/612.60
  6. Step 6: Final answer
    x = 588.32

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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.