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Finding the Fourth Proportional to 400.43, 552.96 and 302.02

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Solution

The fourth proportional to 400.43, 552.96 and 302.02 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.43 : 552.96 = 302.02 : x
  2. Step 2: Convert to fraction form
    400.43/552.96 = 302.02/x
  3. Step 3: Cross multiply
    400.43x = 552.96 × 302.02
  4. Step 4: Simplify right side
    400.43x = 167,003.60
  5. Step 5: Solve for x
    x = 167,003.60/400.43
  6. Step 6: Final answer
    x = 417.06

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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.