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Finding the Fourth Proportional to 604.71, 838.41 and 584.46

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Solution

The fourth proportional to 604.71, 838.41 and 584.46 is: 810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.71 : 838.41 = 584.46 : x
  2. Step 2: Convert to fraction form
    604.71/838.41 = 584.46/x
  3. Step 3: Cross multiply
    604.71x = 838.41 × 584.46
  4. Step 4: Simplify right side
    604.71x = 490,017.11
  5. Step 5: Solve for x
    x = 490,017.11/604.71
  6. Step 6: Final answer
    x = 810.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.