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Finding the Fourth Proportional to 491.62, 678.02 and 351.48

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Solution

The fourth proportional to 491.62, 678.02 and 351.48 is: 484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.62 : 678.02 = 351.48 : x
  2. Step 2: Convert to fraction form
    491.62/678.02 = 351.48/x
  3. Step 3: Cross multiply
    491.62x = 678.02 × 351.48
  4. Step 4: Simplify right side
    491.62x = 238,310.47
  5. Step 5: Solve for x
    x = 238,310.47/491.62
  6. Step 6: Final answer
    x = 484.75

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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.