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Finding the Fourth Proportional to 362.82, 543.53 and 289.84

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Solution

The fourth proportional to 362.82, 543.53 and 289.84 is: 434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.82 : 543.53 = 289.84 : x
  2. Step 2: Convert to fraction form
    362.82/543.53 = 289.84/x
  3. Step 3: Cross multiply
    362.82x = 543.53 × 289.84
  4. Step 4: Simplify right side
    362.82x = 157,534.02
  5. Step 5: Solve for x
    x = 157,534.02/362.82
  6. Step 6: Final answer
    x = 434.20

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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.