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Finding the Fourth Proportional to 375.15, 562.71 and 273.63

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Solution

The fourth proportional to 375.15, 562.71 and 273.63 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.15 : 562.71 = 273.63 : x
  2. Step 2: Convert to fraction form
    375.15/562.71 = 273.63/x
  3. Step 3: Cross multiply
    375.15x = 562.71 × 273.63
  4. Step 4: Simplify right side
    375.15x = 153,974.34
  5. Step 5: Solve for x
    x = 153,974.34/375.15
  6. Step 6: Final answer
    x = 410.43

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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.