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Finding the Fourth Proportional to 984.43, 1,477.31 and 407.30

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Solution

The fourth proportional to 984.43, 1,477.31 and 407.30 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.43 : 1,477.31 = 407.30 : x
  2. Step 2: Convert to fraction form
    984.43/1,477.31 = 407.30/x
  3. Step 3: Cross multiply
    984.43x = 1,477.31 × 407.30
  4. Step 4: Simplify right side
    984.43x = 601,710.02
  5. Step 5: Solve for x
    x = 601,710.02/984.43
  6. Step 6: Final answer
    x = 611.23

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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.