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Finding the Fourth Proportional to 411.07, 567.74 and 278.06

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Solution

The fourth proportional to 411.07, 567.74 and 278.06 is: 384.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.07 : 567.74 = 278.06 : x
  2. Step 2: Convert to fraction form
    411.07/567.74 = 278.06/x
  3. Step 3: Cross multiply
    411.07x = 567.74 × 278.06
  4. Step 4: Simplify right side
    411.07x = 157,865.78
  5. Step 5: Solve for x
    x = 157,865.78/411.07
  6. Step 6: Final answer
    x = 384.04

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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.