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Finding the Fourth Proportional to 482.28, 665.29 and 316.43

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Solution

The fourth proportional to 482.28, 665.29 and 316.43 is: 436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.28 : 665.29 = 316.43 : x
  2. Step 2: Convert to fraction form
    482.28/665.29 = 316.43/x
  3. Step 3: Cross multiply
    482.28x = 665.29 × 316.43
  4. Step 4: Simplify right side
    482.28x = 210,518.26
  5. Step 5: Solve for x
    x = 210,518.26/482.28
  6. Step 6: Final answer
    x = 436.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.