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Finding the Fourth Proportional to 604.44, 834.66 and 465.93

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Solution

The fourth proportional to 604.44, 834.66 and 465.93 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.44 : 834.66 = 465.93 : x
  2. Step 2: Convert to fraction form
    604.44/834.66 = 465.93/x
  3. Step 3: Cross multiply
    604.44x = 834.66 × 465.93
  4. Step 4: Simplify right side
    604.44x = 388,893.13
  5. Step 5: Solve for x
    x = 388,893.13/604.44
  6. Step 6: Final answer
    x = 643.39

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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.