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Finding the Fourth Proportional to 411.10, 567.23 and 278.08

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Solution

The fourth proportional to 411.10, 567.23 and 278.08 is: 383.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.10 : 567.23 = 278.08 : x
  2. Step 2: Convert to fraction form
    411.10/567.23 = 278.08/x
  3. Step 3: Cross multiply
    411.10x = 567.23 × 278.08
  4. Step 4: Simplify right side
    411.10x = 157,733.93
  5. Step 5: Solve for x
    x = 157,733.93/411.10
  6. Step 6: Final answer
    x = 383.69

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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.