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Finding the Fourth Proportional to 419, 627.84 and 175.36

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Solution

The fourth proportional to 419, 627.84 and 175.36 is: 262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 627.84 = 175.36 : x
  2. Step 2: Convert to fraction form
    419/627.84 = 175.36/x
  3. Step 3: Cross multiply
    419x = 627.84 × 175.36
  4. Step 4: Simplify right side
    419x = 110,098.02
  5. Step 5: Solve for x
    x = 110,098.02/419
  6. Step 6: Final answer
    x = 262.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.