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Finding the Fourth Proportional to 482.00, 665.15 and 334.64

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Solution

The fourth proportional to 482.00, 665.15 and 334.64 is: 461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.00 : 665.15 = 334.64 : x
  2. Step 2: Convert to fraction form
    482.00/665.15 = 334.64/x
  3. Step 3: Cross multiply
    482.00x = 665.15 × 334.64
  4. Step 4: Simplify right side
    482.00x = 222,585.79
  5. Step 5: Solve for x
    x = 222,585.79/482.00
  6. Step 6: Final answer
    x = 461.80

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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.