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Finding the Fourth Proportional to 624.60, 936.14 and 442.05

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Solution

The fourth proportional to 624.60, 936.14 and 442.05 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 936.14 = 442.05 : x
  2. Step 2: Convert to fraction form
    624.60/936.14 = 442.05/x
  3. Step 3: Cross multiply
    624.60x = 936.14 × 442.05
  4. Step 4: Simplify right side
    624.60x = 413,820.69
  5. Step 5: Solve for x
    x = 413,820.69/624.60
  6. Step 6: Final answer
    x = 662.54

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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.