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Finding the Fourth Proportional to 410.17, 614.82 and 273.31

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Solution

The fourth proportional to 410.17, 614.82 and 273.31 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.17 : 614.82 = 273.31 : x
  2. Step 2: Convert to fraction form
    410.17/614.82 = 273.31/x
  3. Step 3: Cross multiply
    410.17x = 614.82 × 273.31
  4. Step 4: Simplify right side
    410.17x = 168,036.45
  5. Step 5: Solve for x
    x = 168,036.45/410.17
  6. Step 6: Final answer
    x = 409.68

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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.