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Finding the Fourth Proportional to 468.64, 646.27 and 413.43

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Solution

The fourth proportional to 468.64, 646.27 and 413.43 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.64 : 646.27 = 413.43 : x
  2. Step 2: Convert to fraction form
    468.64/646.27 = 413.43/x
  3. Step 3: Cross multiply
    468.64x = 646.27 × 413.43
  4. Step 4: Simplify right side
    468.64x = 267,187.41
  5. Step 5: Solve for x
    x = 267,187.41/468.64
  6. Step 6: Final answer
    x = 570.13

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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.