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Finding the Fourth Proportional to 980.36, 1,470.38 and 322.04

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Solution

The fourth proportional to 980.36, 1,470.38 and 322.04 is: 483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.36 : 1,470.38 = 322.04 : x
  2. Step 2: Convert to fraction form
    980.36/1,470.38 = 322.04/x
  3. Step 3: Cross multiply
    980.36x = 1,470.38 × 322.04
  4. Step 4: Simplify right side
    980.36x = 473,512.21
  5. Step 5: Solve for x
    x = 473,512.21/980.36
  6. Step 6: Final answer
    x = 483.00

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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.