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Finding the Fourth Proportional to 411.33, 567.37 and 264.15

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Solution

The fourth proportional to 411.33, 567.37 and 264.15 is: 364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.33 : 567.37 = 264.15 : x
  2. Step 2: Convert to fraction form
    411.33/567.37 = 264.15/x
  3. Step 3: Cross multiply
    411.33x = 567.37 × 264.15
  4. Step 4: Simplify right side
    411.33x = 149,871.12
  5. Step 5: Solve for x
    x = 149,871.12/411.33
  6. Step 6: Final answer
    x = 364.35

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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.