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Finding the Fourth Proportional to 942.23, 1,412.89 and 325.72

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Solution

The fourth proportional to 942.23, 1,412.89 and 325.72 is: 488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.23 : 1,412.89 = 325.72 : x
  2. Step 2: Convert to fraction form
    942.23/1,412.89 = 325.72/x
  3. Step 3: Cross multiply
    942.23x = 1,412.89 × 325.72
  4. Step 4: Simplify right side
    942.23x = 460,202.18
  5. Step 5: Solve for x
    x = 460,202.18/942.23
  6. Step 6: Final answer
    x = 488.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.