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Finding the Fourth Proportional to 418.75, 577.89 and 241.76

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Solution

The fourth proportional to 418.75, 577.89 and 241.76 is: 333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.75 : 577.89 = 241.76 : x
  2. Step 2: Convert to fraction form
    418.75/577.89 = 241.76/x
  3. Step 3: Cross multiply
    418.75x = 577.89 × 241.76
  4. Step 4: Simplify right side
    418.75x = 139,710.69
  5. Step 5: Solve for x
    x = 139,710.69/418.75
  6. Step 6: Final answer
    x = 333.64

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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.