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Finding the Fourth Proportional to 411.64, 567.78 and 293.60

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Solution

The fourth proportional to 411.64, 567.78 and 293.60 is: 404.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 567.78 = 293.60 : x
  2. Step 2: Convert to fraction form
    411.64/567.78 = 293.60/x
  3. Step 3: Cross multiply
    411.64x = 567.78 × 293.60
  4. Step 4: Simplify right side
    411.64x = 166,700.21
  5. Step 5: Solve for x
    x = 166,700.21/411.64
  6. Step 6: Final answer
    x = 404.97

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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.