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Finding the Fourth Proportional to 428.56, 587.12 and 412.12

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Solution

The fourth proportional to 428.56, 587.12 and 412.12 is: 564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 587.12 = 412.12 : x
  2. Step 2: Convert to fraction form
    428.56/587.12 = 412.12/x
  3. Step 3: Cross multiply
    428.56x = 587.12 × 412.12
  4. Step 4: Simplify right side
    428.56x = 241,963.89
  5. Step 5: Solve for x
    x = 241,963.89/428.56
  6. Step 6: Final answer
    x = 564.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.