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Finding the Fourth Proportional to 411.47, 568.07 and 264.35

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Solution

The fourth proportional to 411.47, 568.07 and 264.35 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 568.07 = 264.35 : x
  2. Step 2: Convert to fraction form
    411.47/568.07 = 264.35/x
  3. Step 3: Cross multiply
    411.47x = 568.07 × 264.35
  4. Step 4: Simplify right side
    411.47x = 150,169.30
  5. Step 5: Solve for x
    x = 150,169.30/411.47
  6. Step 6: Final answer
    x = 364.96

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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.