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Finding the Fourth Proportional to 412.22, 617.45 and 400.74

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Solution

The fourth proportional to 412.22, 617.45 and 400.74 is: 600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 617.45 = 400.74 : x
  2. Step 2: Convert to fraction form
    412.22/617.45 = 400.74/x
  3. Step 3: Cross multiply
    412.22x = 617.45 × 400.74
  4. Step 4: Simplify right side
    412.22x = 247,437.45
  5. Step 5: Solve for x
    x = 247,437.45/412.22
  6. Step 6: Final answer
    x = 600.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.