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Finding the Fourth Proportional to 412.37, 617.95 and 399.89

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Solution

The fourth proportional to 412.37, 617.95 and 399.89 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 617.95 = 399.89 : x
  2. Step 2: Convert to fraction form
    412.37/617.95 = 399.89/x
  3. Step 3: Cross multiply
    412.37x = 617.95 × 399.89
  4. Step 4: Simplify right side
    412.37x = 247,111.72
  5. Step 5: Solve for x
    x = 247,111.72/412.37
  6. Step 6: Final answer
    x = 599.25

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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.