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Finding the Fourth Proportional to 549.24, 821.78 and 305.96

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Solution

The fourth proportional to 549.24, 821.78 and 305.96 is: 457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.24 : 821.78 = 305.96 : x
  2. Step 2: Convert to fraction form
    549.24/821.78 = 305.96/x
  3. Step 3: Cross multiply
    549.24x = 821.78 × 305.96
  4. Step 4: Simplify right side
    549.24x = 251,431.81
  5. Step 5: Solve for x
    x = 251,431.81/549.24
  6. Step 6: Final answer
    x = 457.78

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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.