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Finding the Fourth Proportional to 662.48, 913.20 and 496.16

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Solution

The fourth proportional to 662.48, 913.20 and 496.16 is: 683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.48 : 913.20 = 496.16 : x
  2. Step 2: Convert to fraction form
    662.48/913.20 = 496.16/x
  3. Step 3: Cross multiply
    662.48x = 913.20 × 496.16
  4. Step 4: Simplify right side
    662.48x = 453,093.31
  5. Step 5: Solve for x
    x = 453,093.31/662.48
  6. Step 6: Final answer
    x = 683.94

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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.