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Finding the Fourth Proportional to 468.69, 705.77 and 411.54

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Solution

The fourth proportional to 468.69, 705.77 and 411.54 is: 619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 705.77 = 411.54 : x
  2. Step 2: Convert to fraction form
    468.69/705.77 = 411.54/x
  3. Step 3: Cross multiply
    468.69x = 705.77 × 411.54
  4. Step 4: Simplify right side
    468.69x = 290,450.53
  5. Step 5: Solve for x
    x = 290,450.53/468.69
  6. Step 6: Final answer
    x = 619.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.