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Finding the Fourth Proportional to 553.96, 764.33 and 364.89

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Solution

The fourth proportional to 553.96, 764.33 and 364.89 is: 503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 764.33 = 364.89 : x
  2. Step 2: Convert to fraction form
    553.96/764.33 = 364.89/x
  3. Step 3: Cross multiply
    553.96x = 764.33 × 364.89
  4. Step 4: Simplify right side
    553.96x = 278,892.55
  5. Step 5: Solve for x
    x = 278,892.55/553.96
  6. Step 6: Final answer
    x = 503.45

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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.