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Finding the Fourth Proportional to 482.21, 664.74 and 341.89

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Solution

The fourth proportional to 482.21, 664.74 and 341.89 is: 471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.21 : 664.74 = 341.89 : x
  2. Step 2: Convert to fraction form
    482.21/664.74 = 341.89/x
  3. Step 3: Cross multiply
    482.21x = 664.74 × 341.89
  4. Step 4: Simplify right side
    482.21x = 227,267.96
  5. Step 5: Solve for x
    x = 227,267.96/482.21
  6. Step 6: Final answer
    x = 471.30

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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.