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Finding the Fourth Proportional to 376.32, 564.53 and 116.34

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Solution

The fourth proportional to 376.32, 564.53 and 116.34 is: 174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 564.53 = 116.34 : x
  2. Step 2: Convert to fraction form
    376.32/564.53 = 116.34/x
  3. Step 3: Cross multiply
    376.32x = 564.53 × 116.34
  4. Step 4: Simplify right side
    376.32x = 65,678.03
  5. Step 5: Solve for x
    x = 65,678.03/376.32
  6. Step 6: Final answer
    x = 174.53

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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.