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Finding the Fourth Proportional to 484.76, 669.12 and 298.52

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Solution

The fourth proportional to 484.76, 669.12 and 298.52 is: 412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.76 : 669.12 = 298.52 : x
  2. Step 2: Convert to fraction form
    484.76/669.12 = 298.52/x
  3. Step 3: Cross multiply
    484.76x = 669.12 × 298.52
  4. Step 4: Simplify right side
    484.76x = 199,743.75
  5. Step 5: Solve for x
    x = 199,743.75/484.76
  6. Step 6: Final answer
    x = 412.04

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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.