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Finding the Fourth Proportional to 466.36, 699.54 and 273.72

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Solution

The fourth proportional to 466.36, 699.54 and 273.72 is: 410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.36 : 699.54 = 273.72 : x
  2. Step 2: Convert to fraction form
    466.36/699.54 = 273.72/x
  3. Step 3: Cross multiply
    466.36x = 699.54 × 273.72
  4. Step 4: Simplify right side
    466.36x = 191,478.09
  5. Step 5: Solve for x
    x = 191,478.09/466.36
  6. Step 6: Final answer
    x = 410.58

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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.