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Finding the Fourth Proportional to 486.64, 671.60 and 355.84

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Solution

The fourth proportional to 486.64, 671.60 and 355.84 is: 491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.64 : 671.60 = 355.84 : x
  2. Step 2: Convert to fraction form
    486.64/671.60 = 355.84/x
  3. Step 3: Cross multiply
    486.64x = 671.60 × 355.84
  4. Step 4: Simplify right side
    486.64x = 238,982.14
  5. Step 5: Solve for x
    x = 238,982.14/486.64
  6. Step 6: Final answer
    x = 491.09

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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.