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Finding the Fourth Proportional to 411.36, 567.77 and 278.52

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Solution

The fourth proportional to 411.36, 567.77 and 278.52 is: 384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 567.77 = 278.52 : x
  2. Step 2: Convert to fraction form
    411.36/567.77 = 278.52/x
  3. Step 3: Cross multiply
    411.36x = 567.77 × 278.52
  4. Step 4: Simplify right side
    411.36x = 158,135.30
  5. Step 5: Solve for x
    x = 158,135.30/411.36
  6. Step 6: Final answer
    x = 384.42

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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.