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Finding the Fourth Proportional to 612.74, 919.43 and 407.40

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Solution

The fourth proportional to 612.74, 919.43 and 407.40 is: 611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 919.43 = 407.40 : x
  2. Step 2: Convert to fraction form
    612.74/919.43 = 407.40/x
  3. Step 3: Cross multiply
    612.74x = 919.43 × 407.40
  4. Step 4: Simplify right side
    612.74x = 374,573.75
  5. Step 5: Solve for x
    x = 374,573.75/612.74
  6. Step 6: Final answer
    x = 611.31

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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.