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Finding the Fourth Proportional to 411, 567.42 and 273.24

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Solution

The fourth proportional to 411, 567.42 and 273.24 is: 377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 567.42 = 273.24 : x
  2. Step 2: Convert to fraction form
    411/567.42 = 273.24/x
  3. Step 3: Cross multiply
    411x = 567.42 × 273.24
  4. Step 4: Simplify right side
    411x = 155,041.84
  5. Step 5: Solve for x
    x = 155,041.84/411
  6. Step 6: Final answer
    x = 377.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.