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Finding the Fourth Proportional to 572.84, 789.23 and 386.00

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Solution

The fourth proportional to 572.84, 789.23 and 386.00 is: 531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 789.23 = 386.00 : x
  2. Step 2: Convert to fraction form
    572.84/789.23 = 386.00/x
  3. Step 3: Cross multiply
    572.84x = 789.23 × 386.00
  4. Step 4: Simplify right side
    572.84x = 304,639.80
  5. Step 5: Solve for x
    x = 304,639.80/572.84
  6. Step 6: Final answer
    x = 531.81

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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.