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Finding the Fourth Proportional to 549.92, 823.26 and 332.84

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Solution

The fourth proportional to 549.92, 823.26 and 332.84 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 823.26 = 332.84 : x
  2. Step 2: Convert to fraction form
    549.92/823.26 = 332.84/x
  3. Step 3: Cross multiply
    549.92x = 823.26 × 332.84
  4. Step 4: Simplify right side
    549.92x = 274,013.86
  5. Step 5: Solve for x
    x = 274,013.86/549.92
  6. Step 6: Final answer
    x = 498.28

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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.