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Finding the Fourth Proportional to 440.92, 608.10 and 382.60

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Solution

The fourth proportional to 440.92, 608.10 and 382.60 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.92 : 608.10 = 382.60 : x
  2. Step 2: Convert to fraction form
    440.92/608.10 = 382.60/x
  3. Step 3: Cross multiply
    440.92x = 608.10 × 382.60
  4. Step 4: Simplify right side
    440.92x = 232,659.06
  5. Step 5: Solve for x
    x = 232,659.06/440.92
  6. Step 6: Final answer
    x = 527.67

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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.