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Finding the Fourth Proportional to 605.84, 836.14 and 465.72

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Solution

The fourth proportional to 605.84, 836.14 and 465.72 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 836.14 = 465.72 : x
  2. Step 2: Convert to fraction form
    605.84/836.14 = 465.72/x
  3. Step 3: Cross multiply
    605.84x = 836.14 × 465.72
  4. Step 4: Simplify right side
    605.84x = 389,407.12
  5. Step 5: Solve for x
    x = 389,407.12/605.84
  6. Step 6: Final answer
    x = 642.76

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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.