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Finding the Fourth Proportional to 605.84, 836.30 and 465.96

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Solution

The fourth proportional to 605.84, 836.30 and 465.96 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.84 : 836.30 = 465.96 : x
  2. Step 2: Convert to fraction form
    605.84/836.30 = 465.96/x
  3. Step 3: Cross multiply
    605.84x = 836.30 × 465.96
  4. Step 4: Simplify right side
    605.84x = 389,682.35
  5. Step 5: Solve for x
    x = 389,682.35/605.84
  6. Step 6: Final answer
    x = 643.21

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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.