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Finding the Fourth Proportional to 620.74, 931.45 and 255.78

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Solution

The fourth proportional to 620.74, 931.45 and 255.78 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.74 : 931.45 = 255.78 : x
  2. Step 2: Convert to fraction form
    620.74/931.45 = 255.78/x
  3. Step 3: Cross multiply
    620.74x = 931.45 × 255.78
  4. Step 4: Simplify right side
    620.74x = 238,248.74
  5. Step 5: Solve for x
    x = 238,248.74/620.74
  6. Step 6: Final answer
    x = 383.82

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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.