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Finding the Fourth Proportional to 627.84, 867.60 and 462.24

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Solution

The fourth proportional to 627.84, 867.60 and 462.24 is: 638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 867.60 = 462.24 : x
  2. Step 2: Convert to fraction form
    627.84/867.60 = 462.24/x
  3. Step 3: Cross multiply
    627.84x = 867.60 × 462.24
  4. Step 4: Simplify right side
    627.84x = 401,039.42
  5. Step 5: Solve for x
    x = 401,039.42/627.84
  6. Step 6: Final answer
    x = 638.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.