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Finding the Fourth Proportional to 624.41, 936.31 and 364.48

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Solution

The fourth proportional to 624.41, 936.31 and 364.48 is: 546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.41 : 936.31 = 364.48 : x
  2. Step 2: Convert to fraction form
    624.41/936.31 = 364.48/x
  3. Step 3: Cross multiply
    624.41x = 936.31 × 364.48
  4. Step 4: Simplify right side
    624.41x = 341,266.55
  5. Step 5: Solve for x
    x = 341,266.55/624.41
  6. Step 6: Final answer
    x = 546.54

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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.