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Finding the Fourth Proportional to 412.29, 569.22 and 287.88

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Solution

The fourth proportional to 412.29, 569.22 and 287.88 is: 397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.29 : 569.22 = 287.88 : x
  2. Step 2: Convert to fraction form
    412.29/569.22 = 287.88/x
  3. Step 3: Cross multiply
    412.29x = 569.22 × 287.88
  4. Step 4: Simplify right side
    412.29x = 163,867.05
  5. Step 5: Solve for x
    x = 163,867.05/412.29
  6. Step 6: Final answer
    x = 397.46

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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.