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Finding the Fourth Proportional to 469.08, 647 and 413.60

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Solution

The fourth proportional to 469.08, 647 and 413.60 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.08 : 647 = 413.60 : x
  2. Step 2: Convert to fraction form
    469.08/647 = 413.60/x
  3. Step 3: Cross multiply
    469.08x = 647 × 413.60
  4. Step 4: Simplify right side
    469.08x = 267,599.20
  5. Step 5: Solve for x
    x = 267,599.20/469.08
  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.