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Finding the Fourth Proportional to 418.59, 628.29 and 175.19

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Solution

The fourth proportional to 418.59, 628.29 and 175.19 is: 262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.59 : 628.29 = 175.19 : x
  2. Step 2: Convert to fraction form
    418.59/628.29 = 175.19/x
  3. Step 3: Cross multiply
    418.59x = 628.29 × 175.19
  4. Step 4: Simplify right side
    418.59x = 110,066.98
  5. Step 5: Solve for x
    x = 110,066.98/418.59
  6. Step 6: Final answer
    x = 262.95

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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.