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Finding the Fourth Proportional to 605.61, 835.38 and 419.01

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Solution

The fourth proportional to 605.61, 835.38 and 419.01 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.61 : 835.38 = 419.01 : x
  2. Step 2: Convert to fraction form
    605.61/835.38 = 419.01/x
  3. Step 3: Cross multiply
    605.61x = 835.38 × 419.01
  4. Step 4: Simplify right side
    605.61x = 350,032.57
  5. Step 5: Solve for x
    x = 350,032.57/605.61
  6. Step 6: Final answer
    x = 577.98

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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.