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Finding the Fourth Proportional to 482.45, 665.24 and 333.14

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Solution

The fourth proportional to 482.45, 665.24 and 333.14 is: 459.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.45 : 665.24 = 333.14 : x
  2. Step 2: Convert to fraction form
    482.45/665.24 = 333.14/x
  3. Step 3: Cross multiply
    482.45x = 665.24 × 333.14
  4. Step 4: Simplify right side
    482.45x = 221,613.06
  5. Step 5: Solve for x
    x = 221,613.06/482.45
  6. Step 6: Final answer
    x = 459.35

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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.