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Finding the Fourth Proportional to 604.27, 833.61 and 418.33

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Solution

The fourth proportional to 604.27, 833.61 and 418.33 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.27 : 833.61 = 418.33 : x
  2. Step 2: Convert to fraction form
    604.27/833.61 = 418.33/x
  3. Step 3: Cross multiply
    604.27x = 833.61 × 418.33
  4. Step 4: Simplify right side
    604.27x = 348,724.07
  5. Step 5: Solve for x
    x = 348,724.07/604.27
  6. Step 6: Final answer
    x = 577.10

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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.