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Finding the Fourth Proportional to 416.67, 575.27 and 372.93

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Solution

The fourth proportional to 416.67, 575.27 and 372.93 is: 514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 575.27 = 372.93 : x
  2. Step 2: Convert to fraction form
    416.67/575.27 = 372.93/x
  3. Step 3: Cross multiply
    416.67x = 575.27 × 372.93
  4. Step 4: Simplify right side
    416.67x = 214,535.44
  5. Step 5: Solve for x
    x = 214,535.44/416.67
  6. Step 6: Final answer
    x = 514.88

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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.