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Finding the Fourth Proportional to 484.60, 669.23 and 414.25

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Solution

The fourth proportional to 484.60, 669.23 and 414.25 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.60 : 669.23 = 414.25 : x
  2. Step 2: Convert to fraction form
    484.60/669.23 = 414.25/x
  3. Step 3: Cross multiply
    484.60x = 669.23 × 414.25
  4. Step 4: Simplify right side
    484.60x = 277,229.70
  5. Step 5: Solve for x
    x = 277,229.70/484.60
  6. Step 6: Final answer
    x = 572.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.