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Finding the Fourth Proportional to 625.49, 936.26 and 429.34

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Solution

The fourth proportional to 625.49, 936.26 and 429.34 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.49 : 936.26 = 429.34 : x
  2. Step 2: Convert to fraction form
    625.49/936.26 = 429.34/x
  3. Step 3: Cross multiply
    625.49x = 936.26 × 429.34
  4. Step 4: Simplify right side
    625.49x = 401,969.38
  5. Step 5: Solve for x
    x = 401,969.38/625.49
  6. Step 6: Final answer
    x = 642.65

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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.