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Finding the Fourth Proportional to 416.62, 575.14 and 241.94

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Solution

The fourth proportional to 416.62, 575.14 and 241.94 is: 334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.62 : 575.14 = 241.94 : x
  2. Step 2: Convert to fraction form
    416.62/575.14 = 241.94/x
  3. Step 3: Cross multiply
    416.62x = 575.14 × 241.94
  4. Step 4: Simplify right side
    416.62x = 139,149.37
  5. Step 5: Solve for x
    x = 139,149.37/416.62
  6. Step 6: Final answer
    x = 334.00

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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.