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Finding the Fourth Proportional to 646.34, 892.15 and 413.46

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Solution

The fourth proportional to 646.34, 892.15 and 413.46 is: 570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 892.15 = 413.46 : x
  2. Step 2: Convert to fraction form
    646.34/892.15 = 413.46/x
  3. Step 3: Cross multiply
    646.34x = 892.15 × 413.46
  4. Step 4: Simplify right side
    646.34x = 368,868.34
  5. Step 5: Solve for x
    x = 368,868.34/646.34
  6. Step 6: Final answer
    x = 570.70

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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.