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Finding the Fourth Proportional to 412.00, 568.39 and 262.58

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Solution

The fourth proportional to 412.00, 568.39 and 262.58 is: 362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.00 : 568.39 = 262.58 : x
  2. Step 2: Convert to fraction form
    412.00/568.39 = 262.58/x
  3. Step 3: Cross multiply
    412.00x = 568.39 × 262.58
  4. Step 4: Simplify right side
    412.00x = 149,243.69
  5. Step 5: Solve for x
    x = 149,243.69/412.00
  6. Step 6: Final answer
    x = 362.25

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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.