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Finding the Fourth Proportional to 564.46, 845.48 and 271.53

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Solution

The fourth proportional to 564.46, 845.48 and 271.53 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.46 : 845.48 = 271.53 : x
  2. Step 2: Convert to fraction form
    564.46/845.48 = 271.53/x
  3. Step 3: Cross multiply
    564.46x = 845.48 × 271.53
  4. Step 4: Simplify right side
    564.46x = 229,573.86
  5. Step 5: Solve for x
    x = 229,573.86/564.46
  6. Step 6: Final answer
    x = 406.72

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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.