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Finding the Fourth Proportional to 591.42, 882.87 and 548.68

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Solution

The fourth proportional to 591.42, 882.87 and 548.68 is: 819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 882.87 = 548.68 : x
  2. Step 2: Convert to fraction form
    591.42/882.87 = 548.68/x
  3. Step 3: Cross multiply
    591.42x = 882.87 × 548.68
  4. Step 4: Simplify right side
    591.42x = 484,413.11
  5. Step 5: Solve for x
    x = 484,413.11/591.42
  6. Step 6: Final answer
    x = 819.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.