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Finding the Fourth Proportional to 412.37, 568.64 and 353.55

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Solution

The fourth proportional to 412.37, 568.64 and 353.55 is: 487.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 568.64 = 353.55 : x
  2. Step 2: Convert to fraction form
    412.37/568.64 = 353.55/x
  3. Step 3: Cross multiply
    412.37x = 568.64 × 353.55
  4. Step 4: Simplify right side
    412.37x = 201,043.21
  5. Step 5: Solve for x
    x = 201,043.21/412.37
  6. Step 6: Final answer
    x = 487.53

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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.