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Finding the Fourth Proportional to 407.82, 611.46 and 364.62

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Solution

The fourth proportional to 407.82, 611.46 and 364.62 is: 546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.82 : 611.46 = 364.62 : x
  2. Step 2: Convert to fraction form
    407.82/611.46 = 364.62/x
  3. Step 3: Cross multiply
    407.82x = 611.46 × 364.62
  4. Step 4: Simplify right side
    407.82x = 222,950.55
  5. Step 5: Solve for x
    x = 222,950.55/407.82
  6. Step 6: Final answer
    x = 546.69

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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.