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Finding the Fourth Proportional to 482.74, 665.96 and 316.96

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Solution

The fourth proportional to 482.74, 665.96 and 316.96 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.74 : 665.96 = 316.96 : x
  2. Step 2: Convert to fraction form
    482.74/665.96 = 316.96/x
  3. Step 3: Cross multiply
    482.74x = 665.96 × 316.96
  4. Step 4: Simplify right side
    482.74x = 211,082.68
  5. Step 5: Solve for x
    x = 211,082.68/482.74
  6. Step 6: Final answer
    x = 437.26

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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.