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Finding the Fourth Proportional to 685.95, 1,029.05 and 223.60

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Solution

The fourth proportional to 685.95, 1,029.05 and 223.60 is: 335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.95 : 1,029.05 = 223.60 : x
  2. Step 2: Convert to fraction form
    685.95/1,029.05 = 223.60/x
  3. Step 3: Cross multiply
    685.95x = 1,029.05 × 223.60
  4. Step 4: Simplify right side
    685.95x = 230,094.46
  5. Step 5: Solve for x
    x = 230,094.46/685.95
  6. Step 6: Final answer
    x = 335.44

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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.