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Finding the Fourth Proportional to 416.72, 575.24 and 251.07

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Solution

The fourth proportional to 416.72, 575.24 and 251.07 is: 346.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 575.24 = 251.07 : x
  2. Step 2: Convert to fraction form
    416.72/575.24 = 251.07/x
  3. Step 3: Cross multiply
    416.72x = 575.24 × 251.07
  4. Step 4: Simplify right side
    416.72x = 144,425.51
  5. Step 5: Solve for x
    x = 144,425.51/416.72
  6. Step 6: Final answer
    x = 346.58

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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.