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Finding the Fourth Proportional to 619.77, 930 and 254.53

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Solution

The fourth proportional to 619.77, 930 and 254.53 is: 381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.77 : 930 = 254.53 : x
  2. Step 2: Convert to fraction form
    619.77/930 = 254.53/x
  3. Step 3: Cross multiply
    619.77x = 930 × 254.53
  4. Step 4: Simplify right side
    619.77x = 236,712.90
  5. Step 5: Solve for x
    x = 236,712.90/619.77
  6. Step 6: Final answer
    x = 381.94

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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.