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Finding the Fourth Proportional to 364.32, 543.49 and 338.13

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Solution

The fourth proportional to 364.32, 543.49 and 338.13 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 543.49 = 338.13 : x
  2. Step 2: Convert to fraction form
    364.32/543.49 = 338.13/x
  3. Step 3: Cross multiply
    364.32x = 543.49 × 338.13
  4. Step 4: Simplify right side
    364.32x = 183,769.43
  5. Step 5: Solve for x
    x = 183,769.43/364.32
  6. Step 6: Final answer
    x = 504.42

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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.