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Finding the Fourth Proportional to 364.56, 543.41 and 335.40

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Solution

The fourth proportional to 364.56, 543.41 and 335.40 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.56 : 543.41 = 335.40 : x
  2. Step 2: Convert to fraction form
    364.56/543.41 = 335.40/x
  3. Step 3: Cross multiply
    364.56x = 543.41 × 335.40
  4. Step 4: Simplify right side
    364.56x = 182,258.04
  5. Step 5: Solve for x
    x = 182,258.04/364.56
  6. Step 6: Final answer
    x = 499.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.