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Finding the Fourth Proportional to 622.06, 932.55 and 256.75

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Solution

The fourth proportional to 622.06, 932.55 and 256.75 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.06 : 932.55 = 256.75 : x
  2. Step 2: Convert to fraction form
    622.06/932.55 = 256.75/x
  3. Step 3: Cross multiply
    622.06x = 932.55 × 256.75
  4. Step 4: Simplify right side
    622.06x = 239,432.21
  5. Step 5: Solve for x
    x = 239,432.21/622.06
  6. Step 6: Final answer
    x = 384.90

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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.