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Finding the Fourth Proportional to 624.84, 936.56 and 380.83

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Solution

The fourth proportional to 624.84, 936.56 and 380.83 is: 570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.84 : 936.56 = 380.83 : x
  2. Step 2: Convert to fraction form
    624.84/936.56 = 380.83/x
  3. Step 3: Cross multiply
    624.84x = 936.56 × 380.83
  4. Step 4: Simplify right side
    624.84x = 356,668.24
  5. Step 5: Solve for x
    x = 356,668.24/624.84
  6. Step 6: Final answer
    x = 570.82

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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.