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Finding the Fourth Proportional to 418.29, 576.78 and 356.02

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Solution

The fourth proportional to 418.29, 576.78 and 356.02 is: 490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 576.78 = 356.02 : x
  2. Step 2: Convert to fraction form
    418.29/576.78 = 356.02/x
  3. Step 3: Cross multiply
    418.29x = 576.78 × 356.02
  4. Step 4: Simplify right side
    418.29x = 205,345.22
  5. Step 5: Solve for x
    x = 205,345.22/418.29
  6. Step 6: Final answer
    x = 490.92

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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.