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Finding the Fourth Proportional to 594.88, 892.07 and 412.33

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Solution

The fourth proportional to 594.88, 892.07 and 412.33 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 892.07 = 412.33 : x
  2. Step 2: Convert to fraction form
    594.88/892.07 = 412.33/x
  3. Step 3: Cross multiply
    594.88x = 892.07 × 412.33
  4. Step 4: Simplify right side
    594.88x = 367,825.16
  5. Step 5: Solve for x
    x = 367,825.16/594.88
  6. Step 6: Final answer
    x = 618.32

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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.