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Finding the Fourth Proportional to 362.60, 543.12 and 337.28

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Solution

The fourth proportional to 362.60, 543.12 and 337.28 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.60 : 543.12 = 337.28 : x
  2. Step 2: Convert to fraction form
    362.60/543.12 = 337.28/x
  3. Step 3: Cross multiply
    362.60x = 543.12 × 337.28
  4. Step 4: Simplify right side
    362.60x = 183,183.51
  5. Step 5: Solve for x
    x = 183,183.51/362.60
  6. Step 6: Final answer
    x = 505.19

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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.