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Finding the Fourth Proportional to 362.12, 543.02 and 209.03

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Solution

The fourth proportional to 362.12, 543.02 and 209.03 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.12 : 543.02 = 209.03 : x
  2. Step 2: Convert to fraction form
    362.12/543.02 = 209.03/x
  3. Step 3: Cross multiply
    362.12x = 543.02 × 209.03
  4. Step 4: Simplify right side
    362.12x = 113,503.71
  5. Step 5: Solve for x
    x = 113,503.71/362.12
  6. Step 6: Final answer
    x = 313.45

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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.