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Finding the Fourth Proportional to 416.56, 625.92 and 386.68

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Solution

The fourth proportional to 416.56, 625.92 and 386.68 is: 581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 625.92 = 386.68 : x
  2. Step 2: Convert to fraction form
    416.56/625.92 = 386.68/x
  3. Step 3: Cross multiply
    416.56x = 625.92 × 386.68
  4. Step 4: Simplify right side
    416.56x = 242,030.75
  5. Step 5: Solve for x
    x = 242,030.75/416.56
  6. Step 6: Final answer
    x = 581.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.