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Finding the Fourth Proportional to 460.84, 627.44 and 459.40

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Solution

The fourth proportional to 460.84, 627.44 and 459.40 is: 625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.84 : 627.44 = 459.40 : x
  2. Step 2: Convert to fraction form
    460.84/627.44 = 459.40/x
  3. Step 3: Cross multiply
    460.84x = 627.44 × 459.40
  4. Step 4: Simplify right side
    460.84x = 288,245.94
  5. Step 5: Solve for x
    x = 288,245.94/460.84
  6. Step 6: Final answer
    x = 625.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.