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Finding the Fourth Proportional to 984.20, 1,476.32 and 399.40

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Solution

The fourth proportional to 984.20, 1,476.32 and 399.40 is: 599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.20 : 1,476.32 = 399.40 : x
  2. Step 2: Convert to fraction form
    984.20/1,476.32 = 399.40/x
  3. Step 3: Cross multiply
    984.20x = 1,476.32 × 399.40
  4. Step 4: Simplify right side
    984.20x = 589,642.21
  5. Step 5: Solve for x
    x = 589,642.21/984.20
  6. Step 6: Final answer
    x = 599.11

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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.