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Finding the Fourth Proportional to 572, 789.46 and 339.14

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Solution

The fourth proportional to 572, 789.46 and 339.14 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 789.46 = 339.14 : x
  2. Step 2: Convert to fraction form
    572/789.46 = 339.14/x
  3. Step 3: Cross multiply
    572x = 789.46 × 339.14
  4. Step 4: Simplify right side
    572x = 267,737.46
  5. Step 5: Solve for x
    x = 267,737.46/572
  6. Step 6: Final answer
    x = 468.07

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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.