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Finding the Fourth Proportional to 464.09, 696.24 and 413.11

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Solution

The fourth proportional to 464.09, 696.24 and 413.11 is: 619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 696.24 = 413.11 : x
  2. Step 2: Convert to fraction form
    464.09/696.24 = 413.11/x
  3. Step 3: Cross multiply
    464.09x = 696.24 × 413.11
  4. Step 4: Simplify right side
    464.09x = 287,623.71
  5. Step 5: Solve for x
    x = 287,623.71/464.09
  6. Step 6: Final answer
    x = 619.76

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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.