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Finding the Fourth Proportional to 411.48, 567.81 and 264.24

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Solution

The fourth proportional to 411.48, 567.81 and 264.24 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.48 : 567.81 = 264.24 : x
  2. Step 2: Convert to fraction form
    411.48/567.81 = 264.24/x
  3. Step 3: Cross multiply
    411.48x = 567.81 × 264.24
  4. Step 4: Simplify right side
    411.48x = 150,038.11
  5. Step 5: Solve for x
    x = 150,038.11/411.48
  6. Step 6: Final answer
    x = 364.63

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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.