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Finding the Fourth Proportional to 548.64, 823.62 and 305.34

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Solution

The fourth proportional to 548.64, 823.62 and 305.34 is: 458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 823.62 = 305.34 : x
  2. Step 2: Convert to fraction form
    548.64/823.62 = 305.34/x
  3. Step 3: Cross multiply
    548.64x = 823.62 × 305.34
  4. Step 4: Simplify right side
    548.64x = 251,484.13
  5. Step 5: Solve for x
    x = 251,484.13/548.64
  6. Step 6: Final answer
    x = 458.38

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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.