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Finding the Fourth Proportional to 625.63, 938.30 and 442.50

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Solution

The fourth proportional to 625.63, 938.30 and 442.50 is: 663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.63 : 938.30 = 442.50 : x
  2. Step 2: Convert to fraction form
    625.63/938.30 = 442.50/x
  3. Step 3: Cross multiply
    625.63x = 938.30 × 442.50
  4. Step 4: Simplify right side
    625.63x = 415,197.75
  5. Step 5: Solve for x
    x = 415,197.75/625.63
  6. Step 6: Final answer
    x = 663.65

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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.