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Finding the Fourth Proportional to 412.13, 567.82 and 287.57

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Solution

The fourth proportional to 412.13, 567.82 and 287.57 is: 396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 567.82 = 287.57 : x
  2. Step 2: Convert to fraction form
    412.13/567.82 = 287.57/x
  3. Step 3: Cross multiply
    412.13x = 567.82 × 287.57
  4. Step 4: Simplify right side
    412.13x = 163,288.00
  5. Step 5: Solve for x
    x = 163,288.00/412.13
  6. Step 6: Final answer
    x = 396.21

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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.