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Finding the Fourth Proportional to 460.44, 634.03 and 386.64

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Solution

The fourth proportional to 460.44, 634.03 and 386.64 is: 532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.44 : 634.03 = 386.64 : x
  2. Step 2: Convert to fraction form
    460.44/634.03 = 386.64/x
  3. Step 3: Cross multiply
    460.44x = 634.03 × 386.64
  4. Step 4: Simplify right side
    460.44x = 245,140.39
  5. Step 5: Solve for x
    x = 245,140.39/460.44
  6. Step 6: Final answer
    x = 532.40

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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.