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Finding the Fourth Proportional to 662.29, 913.66 and 400.26

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Solution

The fourth proportional to 662.29, 913.66 and 400.26 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 913.66 = 400.26 : x
  2. Step 2: Convert to fraction form
    662.29/913.66 = 400.26/x
  3. Step 3: Cross multiply
    662.29x = 913.66 × 400.26
  4. Step 4: Simplify right side
    662.29x = 365,701.55
  5. Step 5: Solve for x
    x = 365,701.55/662.29
  6. Step 6: Final answer
    x = 552.18

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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.