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Finding the Fourth Proportional to 612.42, 845.08 and 363.64

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Solution

The fourth proportional to 612.42, 845.08 and 363.64 is: 501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.42 : 845.08 = 363.64 : x
  2. Step 2: Convert to fraction form
    612.42/845.08 = 363.64/x
  3. Step 3: Cross multiply
    612.42x = 845.08 × 363.64
  4. Step 4: Simplify right side
    612.42x = 307,304.89
  5. Step 5: Solve for x
    x = 307,304.89/612.42
  6. Step 6: Final answer
    x = 501.79

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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.