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Finding the Fourth Proportional to 605.76, 835.88 and 340.14

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Solution

The fourth proportional to 605.76, 835.88 and 340.14 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 835.88 = 340.14 : x
  2. Step 2: Convert to fraction form
    605.76/835.88 = 340.14/x
  3. Step 3: Cross multiply
    605.76x = 835.88 × 340.14
  4. Step 4: Simplify right side
    605.76x = 284,317.66
  5. Step 5: Solve for x
    x = 284,317.66/605.76
  6. Step 6: Final answer
    x = 469.36

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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.