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Finding the Fourth Proportional to 941.48, 1,412.41 and 325.21

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Solution

The fourth proportional to 941.48, 1,412.41 and 325.21 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.48 : 1,412.41 = 325.21 : x
  2. Step 2: Convert to fraction form
    941.48/1,412.41 = 325.21/x
  3. Step 3: Cross multiply
    941.48x = 1,412.41 × 325.21
  4. Step 4: Simplify right side
    941.48x = 459,321.17
  5. Step 5: Solve for x
    x = 459,321.17/941.48
  6. Step 6: Final answer
    x = 487.87

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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.