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Finding the Fourth Proportional to 622.37, 932.94 and 256.65

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Solution

The fourth proportional to 622.37, 932.94 and 256.65 is: 384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.37 : 932.94 = 256.65 : x
  2. Step 2: Convert to fraction form
    622.37/932.94 = 256.65/x
  3. Step 3: Cross multiply
    622.37x = 932.94 × 256.65
  4. Step 4: Simplify right side
    622.37x = 239,439.05
  5. Step 5: Solve for x
    x = 239,439.05/622.37
  6. Step 6: Final answer
    x = 384.72

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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.