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Finding the Fourth Proportional to 353.70, 494.10 and 353.70

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Solution

The fourth proportional to 353.70, 494.10 and 353.70 is: 494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.70 : 494.10 = 353.70 : x
  2. Step 2: Convert to fraction form
    353.70/494.10 = 353.70/x
  3. Step 3: Cross multiply
    353.70x = 494.10 × 353.70
  4. Step 4: Simplify right side
    353.70x = 174,763.17
  5. Step 5: Solve for x
    x = 174,763.17/353.70
  6. Step 6: Final answer
    x = 494.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.