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Finding the Fourth Proportional to 605.06, 835.00 and 428.33

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Solution

The fourth proportional to 605.06, 835.00 and 428.33 is: 591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 835.00 = 428.33 : x
  2. Step 2: Convert to fraction form
    605.06/835.00 = 428.33/x
  3. Step 3: Cross multiply
    605.06x = 835.00 × 428.33
  4. Step 4: Simplify right side
    605.06x = 357,656.57
  5. Step 5: Solve for x
    x = 357,656.57/605.06
  6. Step 6: Final answer
    x = 591.11

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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.