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Finding the Fourth Proportional to 624.38, 936.30 and 364.64

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Solution

The fourth proportional to 624.38, 936.30 and 364.64 is: 546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 936.30 = 364.64 : x
  2. Step 2: Convert to fraction form
    624.38/936.30 = 364.64/x
  3. Step 3: Cross multiply
    624.38x = 936.30 × 364.64
  4. Step 4: Simplify right side
    624.38x = 341,412.43
  5. Step 5: Solve for x
    x = 341,412.43/624.38
  6. Step 6: Final answer
    x = 546.80

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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.