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Finding the Fourth Proportional to 398.69, 597.24 and 364.85

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Solution

The fourth proportional to 398.69, 597.24 and 364.85 is: 546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 597.24 = 364.85 : x
  2. Step 2: Convert to fraction form
    398.69/597.24 = 364.85/x
  3. Step 3: Cross multiply
    398.69x = 597.24 × 364.85
  4. Step 4: Simplify right side
    398.69x = 217,903.01
  5. Step 5: Solve for x
    x = 217,903.01/398.69
  6. Step 6: Final answer
    x = 546.55

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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.