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Finding the Fourth Proportional to 646.33, 892.10 and 413.32

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Solution

The fourth proportional to 646.33, 892.10 and 413.32 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.33 : 892.10 = 413.32 : x
  2. Step 2: Convert to fraction form
    646.33/892.10 = 413.32/x
  3. Step 3: Cross multiply
    646.33x = 892.10 × 413.32
  4. Step 4: Simplify right side
    646.33x = 368,720.71
  5. Step 5: Solve for x
    x = 368,720.71/646.33
  6. Step 6: Final answer
    x = 570.48

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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.