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Finding the Fourth Proportional to 400.55, 552.29 and 302.13

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Solution

The fourth proportional to 400.55, 552.29 and 302.13 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.55 : 552.29 = 302.13 : x
  2. Step 2: Convert to fraction form
    400.55/552.29 = 302.13/x
  3. Step 3: Cross multiply
    400.55x = 552.29 × 302.13
  4. Step 4: Simplify right side
    400.55x = 166,861.87
  5. Step 5: Solve for x
    x = 166,861.87/400.55
  6. Step 6: Final answer
    x = 416.59

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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.