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Finding the Fourth Proportional to 984.31, 1,476.46 and 399.32

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Solution

The fourth proportional to 984.31, 1,476.46 and 399.32 is: 598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.31 : 1,476.46 = 399.32 : x
  2. Step 2: Convert to fraction form
    984.31/1,476.46 = 399.32/x
  3. Step 3: Cross multiply
    984.31x = 1,476.46 × 399.32
  4. Step 4: Simplify right side
    984.31x = 589,580.01
  5. Step 5: Solve for x
    x = 589,580.01/984.31
  6. Step 6: Final answer
    x = 598.98

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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.