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Finding the Fourth Proportional to 553.96, 765.30 and 549.64

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Solution

The fourth proportional to 553.96, 765.30 and 549.64 is: 759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 765.30 = 549.64 : x
  2. Step 2: Convert to fraction form
    553.96/765.30 = 549.64/x
  3. Step 3: Cross multiply
    553.96x = 765.30 × 549.64
  4. Step 4: Simplify right side
    553.96x = 420,639.49
  5. Step 5: Solve for x
    x = 420,639.49/553.96
  6. Step 6: Final answer
    x = 759.33

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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.