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Finding the Fourth Proportional to 469.46, 646.17 and 413.84

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Solution

The fourth proportional to 469.46, 646.17 and 413.84 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 646.17 = 413.84 : x
  2. Step 2: Convert to fraction form
    469.46/646.17 = 413.84/x
  3. Step 3: Cross multiply
    469.46x = 646.17 × 413.84
  4. Step 4: Simplify right side
    469.46x = 267,410.99
  5. Step 5: Solve for x
    x = 267,410.99/469.46
  6. Step 6: Final answer
    x = 569.61

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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.