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Finding the Fourth Proportional to 362.10, 543.54 and 347.40

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Solution

The fourth proportional to 362.10, 543.54 and 347.40 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 543.54 = 347.40 : x
  2. Step 2: Convert to fraction form
    362.10/543.54 = 347.40/x
  3. Step 3: Cross multiply
    362.10x = 543.54 × 347.40
  4. Step 4: Simplify right side
    362.10x = 188,825.80
  5. Step 5: Solve for x
    x = 188,825.80/362.10
  6. Step 6: Final answer
    x = 521.47

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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.