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Finding the Fourth Proportional to 400.69, 552.13 and 307.43

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Solution

The fourth proportional to 400.69, 552.13 and 307.43 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 552.13 = 307.43 : x
  2. Step 2: Convert to fraction form
    400.69/552.13 = 307.43/x
  3. Step 3: Cross multiply
    400.69x = 552.13 × 307.43
  4. Step 4: Simplify right side
    400.69x = 169,741.33
  5. Step 5: Solve for x
    x = 169,741.33/400.69
  6. Step 6: Final answer
    x = 423.62

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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.