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Finding the Fourth Proportional to 564.56, 846.28 and 271.96

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Solution

The fourth proportional to 564.56, 846.28 and 271.96 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 846.28 = 271.96 : x
  2. Step 2: Convert to fraction form
    564.56/846.28 = 271.96/x
  3. Step 3: Cross multiply
    564.56x = 846.28 × 271.96
  4. Step 4: Simplify right side
    564.56x = 230,154.31
  5. Step 5: Solve for x
    x = 230,154.31/564.56
  6. Step 6: Final answer
    x = 407.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.