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Finding the Fourth Proportional to 572.16, 789.20 and 397.28

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Solution

The fourth proportional to 572.16, 789.20 and 397.28 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.16 : 789.20 = 397.28 : x
  2. Step 2: Convert to fraction form
    572.16/789.20 = 397.28/x
  3. Step 3: Cross multiply
    572.16x = 789.20 × 397.28
  4. Step 4: Simplify right side
    572.16x = 313,533.38
  5. Step 5: Solve for x
    x = 313,533.38/572.16
  6. Step 6: Final answer
    x = 547.98

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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.