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Finding the Fourth Proportional to 416.82, 575.19 and 380.10

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Solution

The fourth proportional to 416.82, 575.19 and 380.10 is: 524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.82 : 575.19 = 380.10 : x
  2. Step 2: Convert to fraction form
    416.82/575.19 = 380.10/x
  3. Step 3: Cross multiply
    416.82x = 575.19 × 380.10
  4. Step 4: Simplify right side
    416.82x = 218,629.72
  5. Step 5: Solve for x
    x = 218,629.72/416.82
  6. Step 6: Final answer
    x = 524.52

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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.