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Finding the Fourth Proportional to 646.56, 892.32 and 413.64

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Solution

The fourth proportional to 646.56, 892.32 and 413.64 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 892.32 = 413.64 : x
  2. Step 2: Convert to fraction form
    646.56/892.32 = 413.64/x
  3. Step 3: Cross multiply
    646.56x = 892.32 × 413.64
  4. Step 4: Simplify right side
    646.56x = 369,099.24
  5. Step 5: Solve for x
    x = 369,099.24/646.56
  6. Step 6: Final answer
    x = 570.87

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Why These Related Problems?

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