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Finding the Fourth Proportional to 662.51, 913.02 and 496.10

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Solution

The fourth proportional to 662.51, 913.02 and 496.10 is: 683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.51 : 913.02 = 496.10 : x
  2. Step 2: Convert to fraction form
    662.51/913.02 = 496.10/x
  3. Step 3: Cross multiply
    662.51x = 913.02 × 496.10
  4. Step 4: Simplify right side
    662.51x = 452,949.22
  5. Step 5: Solve for x
    x = 452,949.22/662.51
  6. Step 6: Final answer
    x = 683.69

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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.