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Finding the Fourth Proportional to 685.72, 1,028.72 and 223.51

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Solution

The fourth proportional to 685.72, 1,028.72 and 223.51 is: 335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.72 : 1,028.72 = 223.51 : x
  2. Step 2: Convert to fraction form
    685.72/1,028.72 = 223.51/x
  3. Step 3: Cross multiply
    685.72x = 1,028.72 × 223.51
  4. Step 4: Simplify right side
    685.72x = 229,929.21
  5. Step 5: Solve for x
    x = 229,929.21/685.72
  6. Step 6: Final answer
    x = 335.31

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1.5x scale

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.