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Finding the Fourth Proportional to 292.38, 435.59 and 273.75

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Solution

The fourth proportional to 292.38, 435.59 and 273.75 is: 407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.38 : 435.59 = 273.75 : x
  2. Step 2: Convert to fraction form
    292.38/435.59 = 273.75/x
  3. Step 3: Cross multiply
    292.38x = 435.59 × 273.75
  4. Step 4: Simplify right side
    292.38x = 119,241.39
  5. Step 5: Solve for x
    x = 119,241.39/292.38
  6. Step 6: Final answer
    x = 407.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.