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Finding the Fourth Proportional to 412.68, 568.84 and 346.26

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Solution

The fourth proportional to 412.68, 568.84 and 346.26 is: 477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 568.84 = 346.26 : x
  2. Step 2: Convert to fraction form
    412.68/568.84 = 346.26/x
  3. Step 3: Cross multiply
    412.68x = 568.84 × 346.26
  4. Step 4: Simplify right side
    412.68x = 196,966.54
  5. Step 5: Solve for x
    x = 196,966.54/412.68
  6. Step 6: Final answer
    x = 477.29

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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.