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Finding the Fourth Proportional to 612.70, 919.38 and 407.37

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Solution

The fourth proportional to 612.70, 919.38 and 407.37 is: 611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 919.38 = 407.37 : x
  2. Step 2: Convert to fraction form
    612.70/919.38 = 407.37/x
  3. Step 3: Cross multiply
    612.70x = 919.38 × 407.37
  4. Step 4: Simplify right side
    612.70x = 374,523.23
  5. Step 5: Solve for x
    x = 374,523.23/612.70
  6. Step 6: Final answer
    x = 611.27

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