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Finding the Fourth Proportional to 662.45, 913.09 and 475.64

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Solution

The fourth proportional to 662.45, 913.09 and 475.64 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.45 : 913.09 = 475.64 : x
  2. Step 2: Convert to fraction form
    662.45/913.09 = 475.64/x
  3. Step 3: Cross multiply
    662.45x = 913.09 × 475.64
  4. Step 4: Simplify right side
    662.45x = 434,302.13
  5. Step 5: Solve for x
    x = 434,302.13/662.45
  6. Step 6: Final answer
    x = 655.60

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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.