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Finding the Fourth Proportional to 723.33, 998.04 and 412.93

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Solution

The fourth proportional to 723.33, 998.04 and 412.93 is: 569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 998.04 = 412.93 : x
  2. Step 2: Convert to fraction form
    723.33/998.04 = 412.93/x
  3. Step 3: Cross multiply
    723.33x = 998.04 × 412.93
  4. Step 4: Simplify right side
    723.33x = 412,120.66
  5. Step 5: Solve for x
    x = 412,120.66/723.33
  6. Step 6: Final answer
    x = 569.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.