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Finding the Fourth Proportional to 572.52, 789.90 and 362.82

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Solution

The fourth proportional to 572.52, 789.90 and 362.82 is: 500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.52 : 789.90 = 362.82 : x
  2. Step 2: Convert to fraction form
    572.52/789.90 = 362.82/x
  3. Step 3: Cross multiply
    572.52x = 789.90 × 362.82
  4. Step 4: Simplify right side
    572.52x = 286,591.52
  5. Step 5: Solve for x
    x = 286,591.52/572.52
  6. Step 6: Final answer
    x = 500.58

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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.