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Finding the Fourth Proportional to 362.58, 543.72 and 241.50

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Solution

The fourth proportional to 362.58, 543.72 and 241.50 is: 362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.58 : 543.72 = 241.50 : x
  2. Step 2: Convert to fraction form
    362.58/543.72 = 241.50/x
  3. Step 3: Cross multiply
    362.58x = 543.72 × 241.50
  4. Step 4: Simplify right side
    362.58x = 131,308.38
  5. Step 5: Solve for x
    x = 131,308.38/362.58
  6. Step 6: Final answer
    x = 362.15

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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.