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Finding the Fourth Proportional to 662.56, 914.42 and 496.50

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Solution

The fourth proportional to 662.56, 914.42 and 496.50 is: 685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.56 : 914.42 = 496.50 : x
  2. Step 2: Convert to fraction form
    662.56/914.42 = 496.50/x
  3. Step 3: Cross multiply
    662.56x = 914.42 × 496.50
  4. Step 4: Simplify right side
    662.56x = 454,009.53
  5. Step 5: Solve for x
    x = 454,009.53/662.56
  6. Step 6: Final answer
    x = 685.24

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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.