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Finding the Fourth Proportional to 411.47, 567.84 and 278.73

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Solution

The fourth proportional to 411.47, 567.84 and 278.73 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 567.84 = 278.73 : x
  2. Step 2: Convert to fraction form
    411.47/567.84 = 278.73/x
  3. Step 3: Cross multiply
    411.47x = 567.84 × 278.73
  4. Step 4: Simplify right side
    411.47x = 158,275.65
  5. Step 5: Solve for x
    x = 158,275.65/411.47
  6. Step 6: Final answer
    x = 384.66

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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.