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Finding the Fourth Proportional to 412, 568.02 and 346.36

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Solution

The fourth proportional to 412, 568.02 and 346.36 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412 : 568.02 = 346.36 : x
  2. Step 2: Convert to fraction form
    412/568.02 = 346.36/x
  3. Step 3: Cross multiply
    412x = 568.02 × 346.36
  4. Step 4: Simplify right side
    412x = 196,739.41
  5. Step 5: Solve for x
    x = 196,739.41/412
  6. Step 6: Final answer
    x = 477.52

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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.