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Finding the Fourth Proportional to 605.86, 836.02 and 340.25

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Solution

The fourth proportional to 605.86, 836.02 and 340.25 is: 469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.86 : 836.02 = 340.25 : x
  2. Step 2: Convert to fraction form
    605.86/836.02 = 340.25/x
  3. Step 3: Cross multiply
    605.86x = 836.02 × 340.25
  4. Step 4: Simplify right side
    605.86x = 284,455.81
  5. Step 5: Solve for x
    x = 284,455.81/605.86
  6. Step 6: Final answer
    x = 469.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.