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Finding the Fourth Proportional to 662.45, 913.88 and 400.41

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Solution

The fourth proportional to 662.45, 913.88 and 400.41 is: 552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.45 : 913.88 = 400.41 : x
  2. Step 2: Convert to fraction form
    662.45/913.88 = 400.41/x
  3. Step 3: Cross multiply
    662.45x = 913.88 × 400.41
  4. Step 4: Simplify right side
    662.45x = 365,927.69
  5. Step 5: Solve for x
    x = 365,927.69/662.45
  6. Step 6: Final answer
    x = 552.39

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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.