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Finding the Fourth Proportional to 411.40, 566.94 and 386.20

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Solution

The fourth proportional to 411.40, 566.94 and 386.20 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 566.94 = 386.20 : x
  2. Step 2: Convert to fraction form
    411.40/566.94 = 386.20/x
  3. Step 3: Cross multiply
    411.40x = 566.94 × 386.20
  4. Step 4: Simplify right side
    411.40x = 218,952.23
  5. Step 5: Solve for x
    x = 218,952.23/411.40
  6. Step 6: Final answer
    x = 532.21

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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.