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Finding the Fourth Proportional to 984.01, 1,476.12 and 334.75

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Solution

The fourth proportional to 984.01, 1,476.12 and 334.75 is: 502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.01 : 1,476.12 = 334.75 : x
  2. Step 2: Convert to fraction form
    984.01/1,476.12 = 334.75/x
  3. Step 3: Cross multiply
    984.01x = 1,476.12 × 334.75
  4. Step 4: Simplify right side
    984.01x = 494,131.17
  5. Step 5: Solve for x
    x = 494,131.17/984.01
  6. Step 6: Final answer
    x = 502.16

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Double scale
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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.