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Finding the Fourth Proportional to 418.59, 576.48 and 359.14

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Solution

The fourth proportional to 418.59, 576.48 and 359.14 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.59 : 576.48 = 359.14 : x
  2. Step 2: Convert to fraction form
    418.59/576.48 = 359.14/x
  3. Step 3: Cross multiply
    418.59x = 576.48 × 359.14
  4. Step 4: Simplify right side
    418.59x = 207,037.03
  5. Step 5: Solve for x
    x = 207,037.03/418.59
  6. Step 6: Final answer
    x = 494.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.