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Finding the Fourth Proportional to 362.70, 543.29 and 285.29

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Solution

The fourth proportional to 362.70, 543.29 and 285.29 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 543.29 = 285.29 : x
  2. Step 2: Convert to fraction form
    362.70/543.29 = 285.29/x
  3. Step 3: Cross multiply
    362.70x = 543.29 × 285.29
  4. Step 4: Simplify right side
    362.70x = 154,997.76
  5. Step 5: Solve for x
    x = 154,997.76/362.70
  6. Step 6: Final answer
    x = 427.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.