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Finding the Fourth Proportional to 377.84, 567.12 and 273.83

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Solution

The fourth proportional to 377.84, 567.12 and 273.83 is: 411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 567.12 = 273.83 : x
  2. Step 2: Convert to fraction form
    377.84/567.12 = 273.83/x
  3. Step 3: Cross multiply
    377.84x = 567.12 × 273.83
  4. Step 4: Simplify right side
    377.84x = 155,294.47
  5. Step 5: Solve for x
    x = 155,294.47/377.84
  6. Step 6: Final answer
    x = 411.01

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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.