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Finding the Fourth Proportional to 412.05, 568.12 and 256.53

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Solution

The fourth proportional to 412.05, 568.12 and 256.53 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 568.12 = 256.53 : x
  2. Step 2: Convert to fraction form
    412.05/568.12 = 256.53/x
  3. Step 3: Cross multiply
    412.05x = 568.12 × 256.53
  4. Step 4: Simplify right side
    412.05x = 145,739.82
  5. Step 5: Solve for x
    x = 145,739.82/412.05
  6. Step 6: Final answer
    x = 353.69

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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.