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Finding the Fourth Proportional to 548.78, 822.76 and 304.16

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Solution

The fourth proportional to 548.78, 822.76 and 304.16 is: 456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.78 : 822.76 = 304.16 : x
  2. Step 2: Convert to fraction form
    548.78/822.76 = 304.16/x
  3. Step 3: Cross multiply
    548.78x = 822.76 × 304.16
  4. Step 4: Simplify right side
    548.78x = 250,245.81
  5. Step 5: Solve for x
    x = 250,245.81/548.78
  6. Step 6: Final answer
    x = 456.01

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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.