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Finding the Fourth Proportional to 410.94, 567.78 and 280.52

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Solution

The fourth proportional to 410.94, 567.78 and 280.52 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 567.78 = 280.52 : x
  2. Step 2: Convert to fraction form
    410.94/567.78 = 280.52/x
  3. Step 3: Cross multiply
    410.94x = 567.78 × 280.52
  4. Step 4: Simplify right side
    410.94x = 159,273.65
  5. Step 5: Solve for x
    x = 159,273.65/410.94
  6. Step 6: Final answer
    x = 387.58

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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.