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Finding the Fourth Proportional to 416.24, 572.87 and 305.54

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Solution

The fourth proportional to 416.24, 572.87 and 305.54 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.24 : 572.87 = 305.54 : x
  2. Step 2: Convert to fraction form
    416.24/572.87 = 305.54/x
  3. Step 3: Cross multiply
    416.24x = 572.87 × 305.54
  4. Step 4: Simplify right side
    416.24x = 175,034.70
  5. Step 5: Solve for x
    x = 175,034.70/416.24
  6. Step 6: Final answer
    x = 420.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.