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Finding the Fourth Proportional to 482.14, 664.77 and 316.29

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Solution

The fourth proportional to 482.14, 664.77 and 316.29 is: 436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 664.77 = 316.29 : x
  2. Step 2: Convert to fraction form
    482.14/664.77 = 316.29/x
  3. Step 3: Cross multiply
    482.14x = 664.77 × 316.29
  4. Step 4: Simplify right side
    482.14x = 210,260.10
  5. Step 5: Solve for x
    x = 210,260.10/482.14
  6. Step 6: Final answer
    x = 436.10

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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.