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Finding the Fourth Proportional to 418.61, 628.03 and 175.07

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Solution

The fourth proportional to 418.61, 628.03 and 175.07 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 628.03 = 175.07 : x
  2. Step 2: Convert to fraction form
    418.61/628.03 = 175.07/x
  3. Step 3: Cross multiply
    418.61x = 628.03 × 175.07
  4. Step 4: Simplify right side
    418.61x = 109,949.21
  5. Step 5: Solve for x
    x = 109,949.21/418.61
  6. Step 6: Final answer
    x = 262.65

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