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Finding the Fourth Proportional to 571.84, 789.06 and 385.28

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Solution

The fourth proportional to 571.84, 789.06 and 385.28 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.84 : 789.06 = 385.28 : x
  2. Step 2: Convert to fraction form
    571.84/789.06 = 385.28/x
  3. Step 3: Cross multiply
    571.84x = 789.06 × 385.28
  4. Step 4: Simplify right side
    571.84x = 304,009.04
  5. Step 5: Solve for x
    x = 304,009.04/571.84
  6. Step 6: Final answer
    x = 531.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.