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Finding the Fourth Proportional to 418.88, 628.37 and 175.35

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Solution

The fourth proportional to 418.88, 628.37 and 175.35 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.88 : 628.37 = 175.35 : x
  2. Step 2: Convert to fraction form
    418.88/628.37 = 175.35/x
  3. Step 3: Cross multiply
    418.88x = 628.37 × 175.35
  4. Step 4: Simplify right side
    418.88x = 110,185.12
  5. Step 5: Solve for x
    x = 110,185.12/418.88
  6. Step 6: Final answer
    x = 263.05

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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.