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Finding the Fourth Proportional to 411.76, 568.17 and 264.59

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Solution

The fourth proportional to 411.76, 568.17 and 264.59 is: 365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 568.17 = 264.59 : x
  2. Step 2: Convert to fraction form
    411.76/568.17 = 264.59/x
  3. Step 3: Cross multiply
    411.76x = 568.17 × 264.59
  4. Step 4: Simplify right side
    411.76x = 150,330.02
  5. Step 5: Solve for x
    x = 150,330.02/411.76
  6. Step 6: Final answer
    x = 365.10

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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.