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Finding the Fourth Proportional to 612.81, 845.73 and 364.23

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Solution

The fourth proportional to 612.81, 845.73 and 364.23 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 845.73 = 364.23 : x
  2. Step 2: Convert to fraction form
    612.81/845.73 = 364.23/x
  3. Step 3: Cross multiply
    612.81x = 845.73 × 364.23
  4. Step 4: Simplify right side
    612.81x = 308,040.24
  5. Step 5: Solve for x
    x = 308,040.24/612.81
  6. Step 6: Final answer
    x = 502.67

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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.