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Finding the Fourth Proportional to 549.28, 823.76 and 500.64

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Solution

The fourth proportional to 549.28, 823.76 and 500.64 is: 750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.28 : 823.76 = 500.64 : x
  2. Step 2: Convert to fraction form
    549.28/823.76 = 500.64/x
  3. Step 3: Cross multiply
    549.28x = 823.76 × 500.64
  4. Step 4: Simplify right side
    549.28x = 412,407.21
  5. Step 5: Solve for x
    x = 412,407.21/549.28
  6. Step 6: Final answer
    x = 750.81

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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.