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Finding the Fourth Proportional to 627.84, 864 and 533.16

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Solution

The fourth proportional to 627.84, 864 and 533.16 is: 733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 864 = 533.16 : x
  2. Step 2: Convert to fraction form
    627.84/864 = 533.16/x
  3. Step 3: Cross multiply
    627.84x = 864 × 533.16
  4. Step 4: Simplify right side
    627.84x = 460,650.24
  5. Step 5: Solve for x
    x = 460,650.24/627.84
  6. Step 6: Final answer
    x = 733.71

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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.