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Finding the Fourth Proportional to 548.84, 823.80 and 332.84

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Solution

The fourth proportional to 548.84, 823.80 and 332.84 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.84 : 823.80 = 332.84 : x
  2. Step 2: Convert to fraction form
    548.84/823.80 = 332.84/x
  3. Step 3: Cross multiply
    548.84x = 823.80 × 332.84
  4. Step 4: Simplify right side
    548.84x = 274,193.59
  5. Step 5: Solve for x
    x = 274,193.59/548.84
  6. Step 6: Final answer
    x = 499.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.