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Finding the Fourth Proportional to 625.76, 936.44 and 429.84

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Solution

The fourth proportional to 625.76, 936.44 and 429.84 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.76 : 936.44 = 429.84 : x
  2. Step 2: Convert to fraction form
    625.76/936.44 = 429.84/x
  3. Step 3: Cross multiply
    625.76x = 936.44 × 429.84
  4. Step 4: Simplify right side
    625.76x = 402,519.37
  5. Step 5: Solve for x
    x = 402,519.37/625.76
  6. Step 6: Final answer
    x = 643.25

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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.