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Finding the Fourth Proportional to 406.86, 561.47 and 241.04

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Solution

The fourth proportional to 406.86, 561.47 and 241.04 is: 332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.86 : 561.47 = 241.04 : x
  2. Step 2: Convert to fraction form
    406.86/561.47 = 241.04/x
  3. Step 3: Cross multiply
    406.86x = 561.47 × 241.04
  4. Step 4: Simplify right side
    406.86x = 135,337.10
  5. Step 5: Solve for x
    x = 135,337.10/406.86
  6. Step 6: Final answer
    x = 332.64

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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.