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Finding the Fourth Proportional to 662.16, 913.78 and 382.46

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Solution

The fourth proportional to 662.16, 913.78 and 382.46 is: 527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 913.78 = 382.46 : x
  2. Step 2: Convert to fraction form
    662.16/913.78 = 382.46/x
  3. Step 3: Cross multiply
    662.16x = 913.78 × 382.46
  4. Step 4: Simplify right side
    662.16x = 349,484.30
  5. Step 5: Solve for x
    x = 349,484.30/662.16
  6. Step 6: Final answer
    x = 527.79

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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.