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Finding the Fourth Proportional to 582, 871.82 and 273.42

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Solution

The fourth proportional to 582, 871.82 and 273.42 is: 409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 871.82 = 273.42 : x
  2. Step 2: Convert to fraction form
    582/871.82 = 273.42/x
  3. Step 3: Cross multiply
    582x = 871.82 × 273.42
  4. Step 4: Simplify right side
    582x = 238,373.02
  5. Step 5: Solve for x
    x = 238,373.02/582
  6. Step 6: Final answer
    x = 409.58

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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.