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Finding the Fourth Proportional to 579.84, 869.22 and 254.94

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Solution

The fourth proportional to 579.84, 869.22 and 254.94 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.84 : 869.22 = 254.94 : x
  2. Step 2: Convert to fraction form
    579.84/869.22 = 254.94/x
  3. Step 3: Cross multiply
    579.84x = 869.22 × 254.94
  4. Step 4: Simplify right side
    579.84x = 221,598.95
  5. Step 5: Solve for x
    x = 221,598.95/579.84
  6. Step 6: Final answer
    x = 382.17

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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.