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Finding the Fourth Proportional to 484.32, 668.64 and 456.64

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Solution

The fourth proportional to 484.32, 668.64 and 456.64 is: 630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.32 : 668.64 = 456.64 : x
  2. Step 2: Convert to fraction form
    484.32/668.64 = 456.64/x
  3. Step 3: Cross multiply
    484.32x = 668.64 × 456.64
  4. Step 4: Simplify right side
    484.32x = 305,327.77
  5. Step 5: Solve for x
    x = 305,327.77/484.32
  6. Step 6: Final answer
    x = 630.43

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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.