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Finding the Fourth Proportional to 416.96, 575.52 and 251.04

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Solution

The fourth proportional to 416.96, 575.52 and 251.04 is: 346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.52 = 251.04 : x
  2. Step 2: Convert to fraction form
    416.96/575.52 = 251.04/x
  3. Step 3: Cross multiply
    416.96x = 575.52 × 251.04
  4. Step 4: Simplify right side
    416.96x = 144,478.54
  5. Step 5: Solve for x
    x = 144,478.54/416.96
  6. Step 6: Final answer
    x = 346.50

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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.