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Finding the Fourth Proportional to 427.97, 642.26 and 320.04

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Solution

The fourth proportional to 427.97, 642.26 and 320.04 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 642.26 = 320.04 : x
  2. Step 2: Convert to fraction form
    427.97/642.26 = 320.04/x
  3. Step 3: Cross multiply
    427.97x = 642.26 × 320.04
  4. Step 4: Simplify right side
    427.97x = 205,547.29
  5. Step 5: Solve for x
    x = 205,547.29/427.97
  6. Step 6: Final answer
    x = 480.29

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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.