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Finding the Fourth Proportional to 444.58, 663.60 and 412

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Solution

The fourth proportional to 444.58, 663.60 and 412 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.58 : 663.60 = 412 : x
  2. Step 2: Convert to fraction form
    444.58/663.60 = 412/x
  3. Step 3: Cross multiply
    444.58x = 663.60 × 412
  4. Step 4: Simplify right side
    444.58x = 273,403.20
  5. Step 5: Solve for x
    x = 273,403.20/444.58
  6. Step 6: Final answer
    x = 614.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.