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Finding the Fourth Proportional to 549.72, 822.96 and 305.91

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Solution

The fourth proportional to 549.72, 822.96 and 305.91 is: 457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.72 : 822.96 = 305.91 : x
  2. Step 2: Convert to fraction form
    549.72/822.96 = 305.91/x
  3. Step 3: Cross multiply
    549.72x = 822.96 × 305.91
  4. Step 4: Simplify right side
    549.72x = 251,751.69
  5. Step 5: Solve for x
    x = 251,751.69/549.72
  6. Step 6: Final answer
    x = 457.96

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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.