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Finding the Fourth Proportional to 605.51, 835.10 and 418.71

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Solution

The fourth proportional to 605.51, 835.10 and 418.71 is: 577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.51 : 835.10 = 418.71 : x
  2. Step 2: Convert to fraction form
    605.51/835.10 = 418.71/x
  3. Step 3: Cross multiply
    605.51x = 835.10 × 418.71
  4. Step 4: Simplify right side
    605.51x = 349,664.72
  5. Step 5: Solve for x
    x = 349,664.72/605.51
  6. Step 6: Final answer
    x = 577.47

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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.