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Finding the Fourth Proportional to 412.06, 568.54 and 264.89

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Solution

The fourth proportional to 412.06, 568.54 and 264.89 is: 365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 568.54 = 264.89 : x
  2. Step 2: Convert to fraction form
    412.06/568.54 = 264.89/x
  3. Step 3: Cross multiply
    412.06x = 568.54 × 264.89
  4. Step 4: Simplify right side
    412.06x = 150,599.24
  5. Step 5: Solve for x
    x = 150,599.24/412.06
  6. Step 6: Final answer
    x = 365.48

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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.