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Finding the Fourth Proportional to 353.70, 533.02 and 337.22

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Solution

The fourth proportional to 353.70, 533.02 and 337.22 is: 508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.70 : 533.02 = 337.22 : x
  2. Step 2: Convert to fraction form
    353.70/533.02 = 337.22/x
  3. Step 3: Cross multiply
    353.70x = 533.02 × 337.22
  4. Step 4: Simplify right side
    353.70x = 179,745.00
  5. Step 5: Solve for x
    x = 179,745.00/353.70
  6. Step 6: Final answer
    x = 508.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.