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Finding the Fourth Proportional to 418.69, 577.83 and 241.70

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Solution

The fourth proportional to 418.69, 577.83 and 241.70 is: 333.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.69 : 577.83 = 241.70 : x
  2. Step 2: Convert to fraction form
    418.69/577.83 = 241.70/x
  3. Step 3: Cross multiply
    418.69x = 577.83 × 241.70
  4. Step 4: Simplify right side
    418.69x = 139,661.51
  5. Step 5: Solve for x
    x = 139,661.51/418.69
  6. Step 6: Final answer
    x = 333.57

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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.