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Finding the Fourth Proportional to 484.48, 668.08 and 414.77

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Solution

The fourth proportional to 484.48, 668.08 and 414.77 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.48 : 668.08 = 414.77 : x
  2. Step 2: Convert to fraction form
    484.48/668.08 = 414.77/x
  3. Step 3: Cross multiply
    484.48x = 668.08 × 414.77
  4. Step 4: Simplify right side
    484.48x = 277,100.48
  5. Step 5: Solve for x
    x = 277,100.48/484.48
  6. Step 6: Final answer
    x = 571.95

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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.