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Finding the Fourth Proportional to 482.64, 665.92 and 316.88

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Solution

The fourth proportional to 482.64, 665.92 and 316.88 is: 437.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 665.92 = 316.88 : x
  2. Step 2: Convert to fraction form
    482.64/665.92 = 316.88/x
  3. Step 3: Cross multiply
    482.64x = 665.92 × 316.88
  4. Step 4: Simplify right side
    482.64x = 211,016.73
  5. Step 5: Solve for x
    x = 211,016.73/482.64
  6. Step 6: Final answer
    x = 437.21

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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.