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Finding the Fourth Proportional to 484.64, 728.32 and 451.84

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Solution

The fourth proportional to 484.64, 728.32 and 451.84 is: 679.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.64 : 728.32 = 451.84 : x
  2. Step 2: Convert to fraction form
    484.64/728.32 = 451.84/x
  3. Step 3: Cross multiply
    484.64x = 728.32 × 451.84
  4. Step 4: Simplify right side
    484.64x = 329,084.11
  5. Step 5: Solve for x
    x = 329,084.11/484.64
  6. Step 6: Final answer
    x = 679.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.