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Finding the Fourth Proportional to 416.85, 576.24 and 334.77

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Solution

The fourth proportional to 416.85, 576.24 and 334.77 is: 462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.85 : 576.24 = 334.77 : x
  2. Step 2: Convert to fraction form
    416.85/576.24 = 334.77/x
  3. Step 3: Cross multiply
    416.85x = 576.24 × 334.77
  4. Step 4: Simplify right side
    416.85x = 192,907.86
  5. Step 5: Solve for x
    x = 192,907.86/416.85
  6. Step 6: Final answer
    x = 462.78

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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.