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Finding the Fourth Proportional to 944.63, 1,415.98 and 457.41

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Solution

The fourth proportional to 944.63, 1,415.98 and 457.41 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.63 : 1,415.98 = 457.41 : x
  2. Step 2: Convert to fraction form
    944.63/1,415.98 = 457.41/x
  3. Step 3: Cross multiply
    944.63x = 1,415.98 × 457.41
  4. Step 4: Simplify right side
    944.63x = 647,689.29
  5. Step 5: Solve for x
    x = 647,689.29/944.63
  6. Step 6: Final answer
    x = 685.65

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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.