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Finding the Fourth Proportional to 411.37, 567.68 and 264

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Solution

The fourth proportional to 411.37, 567.68 and 264 is: 364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.37 : 567.68 = 264 : x
  2. Step 2: Convert to fraction form
    411.37/567.68 = 264/x
  3. Step 3: Cross multiply
    411.37x = 567.68 × 264
  4. Step 4: Simplify right side
    411.37x = 149,868.18
  5. Step 5: Solve for x
    x = 149,868.18/411.37
  6. Step 6: Final answer
    x = 364.32

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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.