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Finding the Fourth Proportional to 481.48, 666.24 and 411.40

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Solution

The fourth proportional to 481.48, 666.24 and 411.40 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.48 : 666.24 = 411.40 : x
  2. Step 2: Convert to fraction form
    481.48/666.24 = 411.40/x
  3. Step 3: Cross multiply
    481.48x = 666.24 × 411.40
  4. Step 4: Simplify right side
    481.48x = 274,091.14
  5. Step 5: Solve for x
    x = 274,091.14/481.48
  6. Step 6: Final answer
    x = 569.27

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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.