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Finding the Fourth Proportional to 480.48, 662.64 and 305.76

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Solution

The fourth proportional to 480.48, 662.64 and 305.76 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 662.64 = 305.76 : x
  2. Step 2: Convert to fraction form
    480.48/662.64 = 305.76/x
  3. Step 3: Cross multiply
    480.48x = 662.64 × 305.76
  4. Step 4: Simplify right side
    480.48x = 202,608.81
  5. Step 5: Solve for x
    x = 202,608.81/480.48
  6. Step 6: Final answer
    x = 421.68

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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.