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Finding the Fourth Proportional to 984.71, 1,476.03 and 334.94

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Solution

The fourth proportional to 984.71, 1,476.03 and 334.94 is: 502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.71 : 1,476.03 = 334.94 : x
  2. Step 2: Convert to fraction form
    984.71/1,476.03 = 334.94/x
  3. Step 3: Cross multiply
    984.71x = 1,476.03 × 334.94
  4. Step 4: Simplify right side
    984.71x = 494,381.49
  5. Step 5: Solve for x
    x = 494,381.49/984.71
  6. Step 6: Final answer
    x = 502.06

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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.