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Finding the Fourth Proportional to 662.02, 913.68 and 400.12

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Solution

The fourth proportional to 662.02, 913.68 and 400.12 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.02 : 913.68 = 400.12 : x
  2. Step 2: Convert to fraction form
    662.02/913.68 = 400.12/x
  3. Step 3: Cross multiply
    662.02x = 913.68 × 400.12
  4. Step 4: Simplify right side
    662.02x = 365,581.64
  5. Step 5: Solve for x
    x = 365,581.64/662.02
  6. Step 6: Final answer
    x = 552.22

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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.