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Finding the Fourth Proportional to 325.23, 484.94 and 313.38

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Solution

The fourth proportional to 325.23, 484.94 and 313.38 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.23 : 484.94 = 313.38 : x
  2. Step 2: Convert to fraction form
    325.23/484.94 = 313.38/x
  3. Step 3: Cross multiply
    325.23x = 484.94 × 313.38
  4. Step 4: Simplify right side
    325.23x = 151,971.28
  5. Step 5: Solve for x
    x = 151,971.28/325.23
  6. Step 6: Final answer
    x = 467.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.