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Finding the Fourth Proportional to 685.35, 1,028.32 and 320.10

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Solution

The fourth proportional to 685.35, 1,028.32 and 320.10 is: 480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.35 : 1,028.32 = 320.10 : x
  2. Step 2: Convert to fraction form
    685.35/1,028.32 = 320.10/x
  3. Step 3: Cross multiply
    685.35x = 1,028.32 × 320.10
  4. Step 4: Simplify right side
    685.35x = 329,165.23
  5. Step 5: Solve for x
    x = 329,165.23/685.35
  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.