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Finding the Fourth Proportional to 464.47, 696.71 and 273.31

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Solution

The fourth proportional to 464.47, 696.71 and 273.31 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.47 : 696.71 = 273.31 : x
  2. Step 2: Convert to fraction form
    464.47/696.71 = 273.31/x
  3. Step 3: Cross multiply
    464.47x = 696.71 × 273.31
  4. Step 4: Simplify right side
    464.47x = 190,417.81
  5. Step 5: Solve for x
    x = 190,417.81/464.47
  6. Step 6: Final answer
    x = 409.97

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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.