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Finding the Fourth Proportional to 364.05, 543.18 and 338.24

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Solution

The fourth proportional to 364.05, 543.18 and 338.24 is: 504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 543.18 = 338.24 : x
  2. Step 2: Convert to fraction form
    364.05/543.18 = 338.24/x
  3. Step 3: Cross multiply
    364.05x = 543.18 × 338.24
  4. Step 4: Simplify right side
    364.05x = 183,727.83
  5. Step 5: Solve for x
    x = 183,727.83/364.05
  6. Step 6: Final answer
    x = 504.68

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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.