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Finding the Fourth Proportional to 984.65, 1,477.00 and 254.23

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Solution

The fourth proportional to 984.65, 1,477.00 and 254.23 is: 381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.65 : 1,477.00 = 254.23 : x
  2. Step 2: Convert to fraction form
    984.65/1,477.00 = 254.23/x
  3. Step 3: Cross multiply
    984.65x = 1,477.00 × 254.23
  4. Step 4: Simplify right side
    984.65x = 375,493.38
  5. Step 5: Solve for x
    x = 375,493.38/984.65
  6. Step 6: Final answer
    x = 381.35

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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.