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Finding the Fourth Proportional to 416.96, 575.71 and 334.52

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Solution

The fourth proportional to 416.96, 575.71 and 334.52 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.71 = 334.52 : x
  2. Step 2: Convert to fraction form
    416.96/575.71 = 334.52/x
  3. Step 3: Cross multiply
    416.96x = 575.71 × 334.52
  4. Step 4: Simplify right side
    416.96x = 192,586.51
  5. Step 5: Solve for x
    x = 192,586.51/416.96
  6. Step 6: Final answer
    x = 461.88

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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.