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Finding the Fourth Proportional to 424.67, 585.43 and 300.11

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Solution

The fourth proportional to 424.67, 585.43 and 300.11 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.67 : 585.43 = 300.11 : x
  2. Step 2: Convert to fraction form
    424.67/585.43 = 300.11/x
  3. Step 3: Cross multiply
    424.67x = 585.43 × 300.11
  4. Step 4: Simplify right side
    424.67x = 175,694.11
  5. Step 5: Solve for x
    x = 175,694.11/424.67
  6. Step 6: Final answer
    x = 413.72

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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.