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Finding the Fourth Proportional to 553.42, 763.92 and 343.64

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Solution

The fourth proportional to 553.42, 763.92 and 343.64 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.42 : 763.92 = 343.64 : x
  2. Step 2: Convert to fraction form
    553.42/763.92 = 343.64/x
  3. Step 3: Cross multiply
    553.42x = 763.92 × 343.64
  4. Step 4: Simplify right side
    553.42x = 262,513.47
  5. Step 5: Solve for x
    x = 262,513.47/553.42
  6. Step 6: Final answer
    x = 474.35

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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.