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Finding the Fourth Proportional to 712.23, 1,068.18 and 273.33

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Solution

The fourth proportional to 712.23, 1,068.18 and 273.33 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 1,068.18 = 273.33 : x
  2. Step 2: Convert to fraction form
    712.23/1,068.18 = 273.33/x
  3. Step 3: Cross multiply
    712.23x = 1,068.18 × 273.33
  4. Step 4: Simplify right side
    712.23x = 291,965.64
  5. Step 5: Solve for x
    x = 291,965.64/712.23
  6. Step 6: Final answer
    x = 409.93

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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.