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Finding the Fourth Proportional to 411.36, 615.42 and 266.40

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Solution

The fourth proportional to 411.36, 615.42 and 266.40 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 615.42 = 266.40 : x
  2. Step 2: Convert to fraction form
    411.36/615.42 = 266.40/x
  3. Step 3: Cross multiply
    411.36x = 615.42 × 266.40
  4. Step 4: Simplify right side
    411.36x = 163,947.89
  5. Step 5: Solve for x
    x = 163,947.89/411.36
  6. Step 6: Final answer
    x = 398.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.