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Finding the Fourth Proportional to 612.67, 845.43 and 364.04

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Solution

The fourth proportional to 612.67, 845.43 and 364.04 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.67 : 845.43 = 364.04 : x
  2. Step 2: Convert to fraction form
    612.67/845.43 = 364.04/x
  3. Step 3: Cross multiply
    612.67x = 845.43 × 364.04
  4. Step 4: Simplify right side
    612.67x = 307,770.34
  5. Step 5: Solve for x
    x = 307,770.34/612.67
  6. Step 6: Final answer
    x = 502.34

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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.