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Finding the Fourth Proportional to 411.21, 567 and 386.10

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Solution

The fourth proportional to 411.21, 567 and 386.10 is: 532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 567 = 386.10 : x
  2. Step 2: Convert to fraction form
    411.21/567 = 386.10/x
  3. Step 3: Cross multiply
    411.21x = 567 × 386.10
  4. Step 4: Simplify right side
    411.21x = 218,918.70
  5. Step 5: Solve for x
    x = 218,918.70/411.21
  6. Step 6: Final answer
    x = 532.38

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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.